Thanks, S Wilson. I was going to add this to the thread. I've added some of the other sources directly to the Ebenezer Thayer profile.
Another piece of info that's important...there was some confusion in the Thompson line as well. There are too separate lines - a Woburn line and a Dorchester/Mendon line. At some point, Jonathan from Woburn's birth/death date got imprinted on to John of Mendon, so the 1691 probate is for the wrong Jonathan.
The book that Eddie mentions above does give the parents as John Thompson and Thankful Woodland, mentions the second marriage to Joseph Wight. There's also a Wight genealogy that mentions that in Mrs. Wight's probate it states that she has a daughter married to John Thompson (which could be Abigail (Thayer) Thompson).
The Thayer Memorial is quite error prone, and that seems to be the only one giving her name as White, so personally I think there's probably enough info to merge Martha White into Martha Thomspon.