Re: Charles Barber JR 1704-1726 and Charles Barber Sr. 1676 paid Bastard Fine,
Sorry Phillip, but I know no more than you do about Sarah Dye. If the baby was a Barber, I can find no more mention of him in the records, but it makes sense that he might have been Charles, Jr.'s, being neighbors and all, and given his age at the time. As Charles Jr. died three days before his father in 1726 at age of 22, it is doubtful he was married yet and no one else in the family was probably interested in claiming, let alone caring for, an illegitimate child, but evidently Thomas Dye did well for himself. It's very inyeresting that the Dye DNA is no match. DNA is changing genealogy research and family lore.
It is thought by many that Charles and William Barber, brothers, may have been the natural sons of William and Dorothy Barber Millicent and were adopted by William Barber, Dorothy's brother when their parnets died. Another call for DNA testng.
I am descended from Ann Barber (1709-1753) who married Billington McCarty on 12 Jun 1732 in NFP so I have not delved into any other descendants of Charles and Frances Barber's.
Thanks for your info and sorry to be no help to you.