There is one matching Charles I can see in 1871 - I just throw him in, up to you to prove or disprove him.
1871 RG10/1189 120 27
Southampton St Mary, Hampshire
Standford StreetWilliam Green, head, 45, labourer bricklayer, b. Wilts Salisbury
Betsey, wife, 40, b. Wilts Winterslow
George, son, 19, Plasterer, b. Wilts Fresherton?
Mary, dau, 17, b. Hants Southampton
Charles, son, 15, scholar, b. do. Martha, dau, 13, scholar, b. do.
Betsey, dau, 11, scholar, b. do.
Amy E, dau, 7, scholar, b. do.
Walter H, son, 5, scholar, b. do.
Martha, dau, 3, b. do.
Tanja