I believe the Philip Yeaton who had a daughter Mary Sheriff Yeaton was the son of Philip Drew Yeaton, son of John-3 (John-2 Richard-1) and Mary Sheriff who were married at Portsmouth on 10 November 1767.
What proof do you have that Mary Sheaf (your spelling) Yeaton was the daughter of Philip and Elizabeth Amazeen?
Have you differentiated between the two Philip Yeatons who married two separate Elizabeth Amazeens?One set married at Newcastle on 18 October 1789 and another set married there on 11 March 1826.The birthdate of your Mary Sheafe Yeaton in 1821/3 would preclude her being part of either family.
See my two articles:
Who Were the Parents of Hopley Yeaton, New Hampshire Genealogical Record, Vol. 20 (2003):49-56.
A Chronological Framework for the Yeaton Family of Newcastle, NH, New Hampshire Genealogical Record, Vol. 21 (2004):27-40, 65-76, 113-121, 170-181.