We're on a Yorkshire board, but if we were to ignore that wonderful county (all three Ridings!) just to see what else there might be...
Smethcott in Shropshire. It's about 40 miles from Ribbesford.
There we have baptisms to Richard and Sarah Rogers. Richard was a Blacksmith.
John, baptised 11 August 1811
(though no occupation is given for Richard, this became standard in 1813)
William, 2 July 1815
Ann, 13 March 1818
3 February 1822
Edward
son of Richard + Sarah Rogers
Abode Glebe ?? Smethcott
Father a Blacksmith
2 May 1824
Robert
son of Richard + Sarah Rogers
Abode Smethcott
Father a Blacksmith
Eliza, baptised 17 October 1826
Richard, 22 February 1829
Thomas, 12 February 1832
Richard and Sarah are in Smethcott in 1841. With them are John, Richard junior, and Thomas.
But not Edward and Robert. There are no burials for them in Smethcott, so it seems they didn't die in infancy.
Hard to be sure if they are around anywhere in 1841, because of the lack of personal detail in that census.
I can't see either of them in the 1851 census.
The youngest, Thomas Rogers, 19, born Smethcott, could be in Liverpool. Not sure that he can be found after that.
If they were stilll alive, what happened to them?
Richard the blacksmith appears to have died in 1842, and Sarah probably died in 1850.
Anyway, this famiy might perhaps be worth bearing in mind, at least, if only to eliminate them.