Ecclesall Bierlow, Sheffield, Yorkshire - Matilda is in the household of James (48) & Mary A. Jessop (54). Matilda gives her age as 49 - could James or Mary be a sibling?
1851 Census of England.
suspect she is on a page of census that is damaged beyond recognition
1861 Census of England.
the widow Matilda Whithall is at Barton Upon Irwell, Lancashire, England - with daughter Mary (Whithall) King and her family.