1851 census Edlesborough.
William Carter, Head, M, 36, Plaitt Straw, Bks, Edlesborough.
Mary Carter, wife, M, 26, ditto ditto
Alfred Carter, son, 10, Scholar, ditto
Mary A Carter, dau, 8, ditto ditto
Caroline Carter, dau, 2, Home, ditto
Eliza Carter, dau, 3 mons, ditto
Julia Brandom, lod, U, 19, Plaitt Straw ditto
1861 census Edlesborough
Hogs Close
Private House
William Carter, Head, M, 56, Warter Cruser, Bks, Northall,
Mary Carter, wife, M, 35, Straw Plaiter, Bks, Northall,
Alfred Carter, son, U, 20, Ag/Lab, Bks, Edlesborough,
Elizabeth Carter, dau, 6, Scholar, ditto
Zilpha Carter, dau, 4, ditto
Joseph Carter, son, 6 mth ditto
Spelling as per census and Williams age given as 56 in 1861.
Edlesborough is actually in Bucks. Hope this is what you are after, Waterfall