Here is the info from the other thread:
Here is the source for this 2003 finding:
A History of the Doggett/Daggett Family 1894,
compiled by Samuel Bradlee Doggett, copyright 1894, page 75.
From this source, we read the following:
"John Doggett settled 1st in Watertown in 1630. He removed to Rehoboth in about 1646. The 9th of the 12th mo., 1646, at a meeting of the townsmen, .....
The same day, it was agreed that Edward Sale, John Doggett, William Sabin, John Peram, and WILLIAM THAYER shall have leave to set up a "weier" upon the cove before William Devill's house, and one upon Pawtucket river."
This William Thayer could have been none other than the father of Nathaniel Thayer who settled in Taunton, Bristol, MA. It is highly likely that he may also have been the father of Benjamin TAYER family of RI.
With William's last child born in England in 1644 and the above information, it is estimated that William, and at least his son Nathaniel, immigrated to America in about 1645.
So, perhaps I'm missing something, but I don't see any connection between this evidence and Nathaniel Thayer of Taunton. I'm not sure that you can conclude much except there was a man in Rehoboth named William Thayer in 1646 who may have some connection to the other men mentioned. It doesn't really provide any connection between this William Thayer and the William Tayer of Thornbury. (Except maybe the fact that there isn't a contemporaneous record for William Tayer in England).
Its an interesting piece of evidence that could provide direction for further research, but I don't know that if supports the conclusions she states so strongly. What am I missing?