I think we need to be a little careful here as there are 2 John Bloomfields on Census entries born c 1796, Thornham, Suffolk, and one born c 1797, Benhall, Suffolk.
1841 Census John/Elizabeth have Children;
George, 15
.............. (rest as per 1851)
HO107/1034/16/St Mary Holton
1851 there are at home;
Thomas, 25
Henry, 23
Mary, 21
William, 19
Mark, 18
Elizabeth, 16
Harriett, 14
Susan, 12
All born Holton
Also in household THOMAS age 11mths, Grandson
HO107/1978/132/3
1861 John is born c 1796, Stoke Ash, Suffolk (according to Genuki 0.9miles SE of Thornham)
RG9/1159/170/2
I think you need to establish all Children born to John/Elizabeth to find the naming pattern.
As the eldest Child on census entries is born c 1826 there are others born c 1817-1826 who may hold a clue to correct Parents names for John.
Eg other Submitted Records;
John BLUMFIELD, 16 Oct 1796, Thornham Magna, Suffolk
Parents, William BLUMFIELD and Honour ARBON
John BLOOMFIELD, 24 Hune 1795, Thonham Magna, Suffolk
Parents, JAMES/SUSAN
Trish
