In the 1881 England Census for District 16b, Battersea, London the family of William Barnham was enumerated as follows:
39 Usk Road
William Barnham, Head, Married, 37, Cab proprietor, b. Surrey, Wandsworth
Mary A. Barnham, Wife, Married, 34, b. South Cerney, Gloucester
William J. Barnham, Son, 4, b. Surrey, Wandsworth
Frederick C. Barnham, Son, 1, b. Surrey, Wandsworth
Caroline Barnham, Mother, Widowed, 74, b. Surrey, Wandsworth
Thomas Barnham, Son [N.B., son of Caroline; brother of William], Unmarried, 44, Labourer general, b. Surrey, Wandsworth
William C. Byfield, Boarder, Unmarried, 33, Cab driver, b. Surrey, Wandsworth