I'll stress heavily that I think this probably does not actually connect to the Mayhews of Martha's Vineyard.
Banks's _History of Martha's Vineyard_ mentions in passing that there was a "Thomas Mayhowe" baptized August 1617 at St. Martin's in the Fields, London, and that "[t]he will of Mildred Reade of Linkenhurst, Co. Hants, widow, dated Aug. 15, 1630, mentions
her nephew "Thomas Mayhew the younger."
https://babel.hathitrust.org/cgi/pt?id=yale.39002001112078&view=1up&seq=127&skin=2021&q1=mildred
The place name is given wrongly; Linkenhurst should be "Linkenholt" ... this is actually Mildred (Windebank) Reade, an ancestor of President George Washington.
The will of Mildred is on the web and states: "I bequeath to my nephew Thomas Mayhew the younger, one cow and six ewes." Also ... "In witness whereof I have to these present set my hand and seale this 15 August in the sixth year of the reign of Our
Sovereign Lord Charles etc A.D. 1630 in the presence of Henry Reade and Thomas Mayhew."
This could be taken to possibly indicate an underage nephew "Mayhew the younger," with his father, also named Thomas Mayhew, as a witness.
http://www.thehennesseefamily.com/getperson.php?personID=I35805&tree=hennessee
Or, I suppose, "nephew Thomas Mayhew the younger" could also be the same witness.
A very long account of the Reade family of Faccombe, Hampshire, is given here:
https://www.google.com/books/edition/The_Athenaeum/VapOAQAAMAAJ?hl=en&gbpv=1&dq=%22andrew+hanwell%22&pg=PA378&printsec=frontcover
Notice particularly the one paragraph which reads:
"Robert Read, the second son, is mentioned in the will of his grandfather. There are also mentioned Margaret, Mildred (who married Thomas Mahew, of county Suffolk), and Anne, named after her grandmother, who married John Helyar, of Hasborne."
https://www.google.com/books/edition/The_Athenaeum/vYE3AQAAMAAJ?hl=en&gbpv=1&dq=%22godson+andrew+hanwell%22+mildred+mahew&pg=PA378&printsec=frontcover
The rambling narratives makes it a little hard to place Mildred (? Reade) Mahew "of Suffolk," but at least seems to indicate she was a Reade, not a Windebank.
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