I have a date of 5 Sep 1853 for Emma's baptism at Whitnash, Warwick. However, the 1881 census shows her as aged 26 years which would indicate a couple of years later. At the 1881 census she appeared living with the family of Richard Burrows at 9 Norfolk St., Leamington Priors, Warwick, England. She was lodging with the BURROWS family along with her mother and daughter.

Richard BURROWS Head M Male 30 Oxford, Oxford, England Tailor
Helen BURROWS Wife M Female 28 Oxford, Oxford, England Tailors Wife
Louisa BURROWS Daur Female 4 Leamington, Warwick, England
Mabel BURROWS Daur Female 3 Leamington, Warwick, England
Ethel BURROWS Daur Female 1 Leamington, Warwick, England
Sarah MORRIS Lodger U Female 51 Birmingham, Warwick, England Seamstress
Hannah BUTLER Lodger W Female 76 B, Warwick, England In Receipt Of Parish Relief
Emma BUTLER Lodger U Female 26 Whitnash, Warwick, England Dressmaker
Eveline BUTLER Lodger Female 7 m Warwick, Warwick, England
__________

I can't see Emma as Emma Butler in 1901, but I wonder if it could be her living at Leamington Prior as Emma BURN age 40? We know from the 1881 census that she was living at Leamington Prior with her mother and daughter, and we know she was born at Whitnash, so she may well be the Emma who married James Burn.

Emma Burn 40 Warwick Whitnash Warwickshire Leamington Prior Laundress
James Burn 39 Worcester Bromsgrove Warwickshire Leamington Prior Serving Retorts Gas
Lillie Burn 8 Warwick Leamington Warwickshire Leamington Prior
Lizzie Burn 3 Warwick Leamington Warwickshire Leamington Prior
William Burn 16 Warwick Leamington Warwickshire Leamington Prior Errand Boy
Alice Burn 6 Warwick Leamington Warwickshire Leamington Prior
Annie Burn 10 Warwick Leamington Warwickshire Leamington Prior
Harry Burn 1 Warwick Leamington Warwickshire Leamington Prior
James Burn 13 Warwick Leamington Warwickshire Leamington Prior