If it's any help; equiries elsewhere have indicated that Jonah may appear on Piece: 2033, Folio: 048 of the 1851 census, and an enumerators or transcription error may have listed him as Josiah FLAVELL.
His brothers, Matthias (age 13) and David (age 17), may also appear on on the same page. If this is so then I would be interested to know who else lived in the same household. Their mother Elizabeth had probably remarried by this point, but unfortunately I have 7 potential husbands that she could be married to.