This is the best I could find, but the age of Mary seems wrong.
1871 census - Birchy Field Lane, Oldbury, West Bromwich, Staffs.
James Brazier, 53yrs, Labourer (colliery),(birth column empty).
Mary Brazier, 48yrs, born Tipton, Staffs.
Sarah Brazier, 13yrs, born Tipton, Staffs.
thanks for your replies. It does look like the correct family and it might be as Dave suggested that Sarah gave the information to the best of her knowledge.