I have it from Peter Markham of the USA that the Markhams first moved into Middle Aston, Oxfordshire, some time just before 1785, coming from Silveston (Silverstone) in Northants. John and Hannah (Whitlock) the first parents. Then Marriott their son, and Ann (Tibbetts), William, their son and Hannah (Gibson), then Charles, their son and Hannah (Pargeter) all had large families. By 1901 however the only Markhams left in the village were the elderly Charles and Hannah. Not sure when Charles died but Hannah lived until 1910."
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William and Hannah can be seen at the 1851 census living at Middle Aston, Oxfordshire, England:
William Head m 42 Ag Lab Nth Charlton
Hannah Wife m 41 Ag Lab GLS Gt Rissington
George Son u 16 Ag Lab OXF Middle Aston
Frederick Son u 14 Ag Lab OXF Middle Aston
Joseph Son u 11 Ag Lab OXF Middle Aston
Thomas Son u 10 Ag Lab OXF Middle Aston
Charles Son u 7 Scholar OXF Middle Aston
Elizabeth Dau u 3 Scholar OXF Middle Aston
Sarah Dau u 5 Scholar OXF Middle Aston
Alfred Son u 2 Scholar OXF Middle Aston
Mary Dau u 2m
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In 1871, William was still living at Middle Aston with his wife and four of their children:
William Markham Head 52 Ag Lab Northampton, Charlton
Hannah Markham Wife 51 Gloucester Great Rissington
Charles Markham Son 17 Ag Lab Oxon Middle Aston
Alfred Markham Son 12 Ag Lab Oxon Middle Aston
Mary Markham Dau 10 Scholar Oxon Middle Aston
Harriett Markham Dau 7 Scholar Oxon Middle Aston
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William and Hannah Markham can be seen in the 1881 census for England and Wales, living at The Village, Middle Aston, Oxfordshire.
William Head M 72 Charlton, Northampton, England Ag Lab
Hannah Wife M 71 Great Rissington, Gloucester, England

I believe that Hannah Gibson was the daughter of Thomas Gibson and his wife Sarah as given in the IGI.
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In 1891, William had died leaving Hannah to live at South Street, Steeple Aston, Oxfordshire, England at what the census desribes as the Co-Op Tenemant which was between the Co-Op Store and the White Lion Inn. She was living with her son George.
Hannah Markham Wid 81 Glos Little Rissington - Imbecile
George Markham Son 56 Drayman Oxon Middle Aston
Ellen Frankling Visitor 58 oxon Middle Aston
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I have in my possession an old family Bible that I remember my father bringing home after his father, George Levi Knibbs died. On the front cover it says "Society for the Promotion of Christian Knowledge 1698". Inside the front cover is written Smith, Binder. Feb 1834. Whilst the words are clearly printed onto the paper, the dates look as if they were stamped separately so I am presuming this is the date when the Bible was completed ready for sale.

Please view the pages from Hannah's Bible

Inside the front cover is written in very neat handwriting:
Hannah Markham 
Middle Aston 
Oxfordshire

Above Hannah's name there are some other names and dates which I have always suspected were related to Hannah's side of the family. However, from research by Peter Markham (who's descended from this part of the Markham family) I now understand that isn't the case.
The writing says:
James Cother died
11th April 1851
Sarah his wife died
9th Feby 1850
Emma their Daughter died
6th Nov 1838

Peter has found that James Cother was a farmer from Gloucestershire, who died in Bloxham, Banbury, Oxfordshire. The GRO confirms he died during q2/1851 at Bloxham District. The GRO also confirms the other events recorded in the Bible: Sarah Cother died during q1/1850 (also in the Bloxham District): Emma Cother their daughter died during q4/1838 in the District of Stow on the Wold, Gloucestershire.
We're not sure why the Bible has entries from the Cother family. To the best of our knowledge, there is no family connection between the Cothers and Markhams. 
Peter has discovered that in 1851, in Middle Aston, Oxfordshire, there was a William Cother, a farmer from Gloucestershire who employed 20 men, 9 boys and 8 women. On the same page of the census return, we can see Marriott and Ann Markham who are the great grandparents of Elizabeth Markham who maried Robert Knibbs.

On the opposite page is written in very different writing:
J Knibbs
Married Feb 15 1895

Georges baby born august 11 phylliss evelin

J Knibbs is Hannah's grandson James. George is another of her grandsons. Phylliss Eveline would have been her great-granddaughter who was born in 1904, and probably after Hannah herself had died.

Eleanor married James Franklin from Middleton, Northamptonshire, England at Woodstock District, Oxfordshire during q4/1854. They can be seen living at Bushey Grove Cottages, Bushey, Hertford, England at the 1881 census
James FRANKLIN Head M Male 54 Middleton, Northampton, England Ag Labourer
Eleanor FRANKLIN Wife M Female 48 Middle Aston, Oxford, England Wife
Thomas FRANKLIN Son Male 14 Bushey, Hertford, England Scholar
James H. FRANKLIN Son Male 10 Bushey, Hertford, England Scholar
William G. FRANKLIN Son Male 10 Bushey, Hertford, England Scholar

We can see Joseph Markham in the 1881 census living at Sutton Coldfield, Warwickshire, England.
Joseph Head M 42 Middle Aston, Oxford, England Gardener
Sarah A. Wife M 38 Kempcot, Leicester, England
William Son 10 Sutton Coldfield, Warwick, England Gardeners Assistant
Frederick Son 7 Sutton Coldfield, Warwick, England Scholar
Susannah Daur 6 Sutton Coldfield, Warwick, England Scholar
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We can also see Joseph in 1891, living at Aston, Birmingham, Warwickshire, England:
MARKHAM Joseph Head M 51Gardener Domestic Servt Oxfordshire - Middle Aston
MARKHAM Sarah Ann Wife M 47 Leicestershire - Hemptead
MARKHAM Kate Dau S 16 Warwickshire - Sutton Coldfield
BEDDOES Fred Visitr S 19 Domestic Staffordshire - West Bromwich

We can see Charles Markham living at Middle Aston, Oxfordshire in 1881:
Charles Head M 37 Middle Aston, Oxford, England Ag Lab
Hannah Wife M 38 Hook Norton, Oxford, England
John M. Son 13 Steeple Aston, Oxford, England Ag Lab
William Son 11 Steeple Aston, Oxford, England Ag Lab
Henry Son 9 Steeple Aston, Oxford, England Scholar
Rose Daur 7 Middle Aston, Oxford, England Scholar
Tom Son 5 Middle Aston, Oxford, England Scholar
Alice Daur 2 Middle Aston, Oxford, England
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We can also see Charles in 1891 still living at Middle Aston:
Charles Markham Head 4? Agricultural Labourer
Hannah Markham Wife 45
Tom Markham Son 15
Alice Markham Dau 12
Albert Markham Son 9
Ethel Markham Dau ?
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And again in 1901:
Charles Markham 57 Oxford Middle Aston Middle Aston Entire Cowman
Hannah Markham 58 Oxford Hook Norton Middle Aston Entire

I believe it was Mary Ann Matthews who married Alfred at Woodstock District, Oxfordshire during q4/1872. They can be seen at the 1881 census living at 39 Gt Tufton St., London, Middlesex, England:
Alfred MARKHAM Head M Male 32 Middle Aston, Oxford, England Tailor
Mary A. MARKHAM Wife M Female 26 Middle Barton, Oxford, England
Emma MARKHAM Daur Female 6 Middle Barton, Oxford, England
Walter F. MARKHAM Son Male 3 Westminster, Middlesex, England
Francis W. MARKHAM Son Male 1 Westminster, Middlesex, England
Mary A. BOFFIH Visitor Female 14 ...Ington, Devon, England

Mary married a man named Walter Drury in June quarter, 1871 at St George, Hanover Square, London, England
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We can see then in 1881 living at 51 Gt Tufton Street, London, Middlesex, England:
Walter DRURY Head M Male 30 Dedham, Essex, England Hall Porter
Mary DRURY Wife M Female 30 Middle Aston, Oxford, England
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Mary can be seen in 1901 living at 12 Medway Street, Westminster, London. She was living with her husband Walter Drury, his brother Alfred, two lodgers and someone named Bertram Phillips who is identified as a son in the census. I assume this is son of the head of the family (i.e. Mary's husband Walter Drury) so I'm a little confuiused over the surname Phillips.

We can also see Mary's neice Amy Elizabeth Knibbs living with them. Amy was the daughter of Mary's sister, Elizabeth Markham and Robert Knibbs.

Walter Drury abt 1851 Dedham, Essex, England Head
Alfred Drury abt 1852 Dedham, Essex, England Brother
Mary Drury abt 1851 Middle Aston, Oxfordshire, England Wife
John W Gould abt 1857 Buxton, Norfolk, England Lodger
Amy Knibbs abt 1888 Clifton, Oxfordshire, England Niece
Bertram Phillips abt 1878 St Leonards, Sussex, England Son
Daniel Symons abt 1836 Mile End, London, England Lodger

All were living at the parish of St John the Evangelist and St Margaret, Westminster, London
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I suspect it's Mary who died at St George, Hanover Square, London, England in December quarter, 1902 aged 51 years, as per FreeBMD.

Harriet married a man named James Berry in Woodstock District, Oxfordshire during q4/1873, and they can be seen in 1881 living at 14 Union Walk, Leamington Priors, Warwickshire, England at the 1881 census with their son Thomas

James BERRY Head M Male 35 Leamington, Warwick, England House Keeper
Harriet BERRY Wife M Female 27 Staple Aston, Oxford, England House Keeper Wife
Thomas W. BERRY Son U Male 5 Leamington, Warwick, England Scholar
H. NEIL Boarder U Male 22 Worcester, England Gas Labourer
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And in 1891:
James Berry Head 40 labourer Leamington Warwick
Harriett Berry Wife 38 Leamington Warwick
Thomas Berry Son 15 Ex Billiard Worker Leamington Warwick
Mary Berry Sister 40 Leamington Warwick

Thomas's occupation may well be Billboard Worker

We can see George Markham at the 1881 census living at 30 Thornhill St., Thornhill, York, England :
George MARKHAM Head M Male 46 Middle Aston, Oxford, England Horse Driver (C Miner)
Sushannah MARKHAM Wife M Female 43 Bps Itchington, Warwick, England
John W. MARKHAM Son U Male 22 Middle Aston, Oxford, England Railway Pointsman
Thomas MARKHAM Son U Male 18 Harbury, Warwick, England Cripple
Alfred MARKHAM Son U Male 16 Bps Itchington, Warwick, England Mill Hand
William MARKHAM Son U Male 14 Bps Itchington, Warwick, England Bobbin Turner
Fred MARKHAM Son Male 9 Bps Itchington, Warwick, England Scholar
George MARKHAM Son Male 5 Thornhill, York, England Scholar
Harriett MARKHAM Daur Female 3 Thornhill, York, England
Mary E. MARKHAM Daur Female 1 Thornhill, York, England
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In 1901, he can be seen living at Thornhill, York, England working as a Retail Green Grocer:
George Markham 66 Oxon Middle Aston York Thornhill Green Grocer Retail
Susannah Markham 63 Warwickshire Itchington York Thornhill
Ellen Markham 24 Yorks Batley Yorks Thornhill Blanket Weaver
George Markham 13 Yorks Dewsbury Yorks Thornhill School
George Markham 25 Yorks Thornhill Yorks Thornhill Railway Drayman

His sons John and Thomas are also still living in the same town but I didn't check to see their marital status.
John Markham 42 Warwickshire N K Yorks Thornhill Teamer At Gas Works
Thomas Markham 38 Warwickshire Harbury York Thornhill General Labourer

Frederick Markham can be seen at the 1881 census living at 24 Walker St., Thornhill, York, England :
Fredrick MARKHAM Head M Male 44 Steeple Aston, Oxford, General Laborer
Mary Ann MARKHAM Wife M Female 41 Steeple Aston, Oxford, Household Duties
John Hy. MARKHAM Son U Male 21 Steeple Aston, Oxford, Teamer & Carter
Mary Ann MARKHAM Daur U Female 20 Steeple Aston, Oxford, Woollen Cloth Weaver
Fanny MARKHAM Daur U Female 16 Itchington, Warwick, No Employment
Harry MARKHAM Son Male 11 Itchington, Warwick, Scholar
Jesse MARKHAM Son Male 5 Thornhill, York, Scholar
Ernest MARKHAM Son Mal 3 Thornhill, York
Vincent MARKHAM Son Male 1 Thornhill, York

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Frederick can be seen at the 1901 census living at Norton, Durham. England.
Frederick Markham 64 Middle Aston Oxfordshire Durham Norton General Labourer
Mary Markham 61 Oxfordshire South Aston Durham Norton

His sons Ernest and Vincent were living in the same town but I didn't check to see their marital status or where they were living:
Ernest Markham 23 Yorkshire Thornhill Lees Durham Norton Bricklayers Labourer
Vincent Markham 21 Yorkshire Thornhill Lees Durham Norton

We can see Thomas Markham at the 1881 census living at Sutton Coldfield, Warwick, England :
Thomas Head M 40 Middle Aston, Oxford, England Pensioner
Ann Wife M 34 Sutterton, Lincoln, England
Maud E. Daur 4 Birmingham, Warwick, England
Percival Son 2 Coventry, Warwick, England
Serena Daur 1 Coventry, Warwick, England
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We can also see Thomas living at Sutterton, Lincolnshire, England at the 1901 census:
Thomas Markham 60 ... Middle Aston Holland Sutterton Pensioner Saddler