The John White born in 1675 in Marshfield who married Susan Sherman is the descendant of Peregine White of the Mayflower. This is spelled out very clearly in the book produced by the Mayflower Society titled:
Mayflower Families Through Five Generations, Volume Thirteen, Third Edition,
The John White killed by Indians in Brookfield in 1710 and married to Prudence Hayward is a mystery to most and often confused with the John White of Marshfield.
I am a direct descendant of the John White killed in Brookfield. My Paternal DNA shows him belonging to a line descending from a William White and Elizabeth Jackson. They emigrated to Boston in the 1600's. I have not found a paper trail showing this link.