A source I usually find reliable notes:
She was no doubt a sister of Stukeley WESTCOTT, the immigrant ancestor of that family. Her daughter, Meribah (Renewed) [Holliman] GEREARDY claimed to be cousin to Amos WESTCOTT, Stukeley's son. Also, both families moved at the same time from 1) Salem, MA to 2) Providence, RI to 3) Warwick, RI.
However I don't have the underlying source.
See also the notes and sources here: http://www.clancywrightgenealogy.org/getperson.php?personID=I726&am...
# Name: Mary Westcott?
ALIA: Margaret Hone /Periam
This link was updated with a comment:
"Forget Periam as Mary's name. Her name is simply not known. Westcott remains conjecture, although a very attractive one, but Periam is most definitely out. The real Mary Periam who married a John Sweet in Devon did so considerably earlier (early 1500s). Forget all English connections. All are utterly unproven at this time. London actually is a more likely area than Devonshire for origin of John1."
repeating something over and over does not provide proof. Look up the Wolcott papers on line and you will find the proof, I think, that proves John Sweet son of John Sweet and Mary P. are not the parents of the the John Sweet who came to Salem. Coat of arms from Traine, Modbury and seal used by John Sweet don't match.