Moses Johnson, Have you researched this book?
Baker, Eleanor Johnson, [View Citation] [Table of Contents] [Page Numbers]
A genealogy of the descendants of William Johnson of Charlestown, Massachusetts : immigrant about 1630 : fairly complete through the first six generations : and a few lines carried through the seventh to the tenth Newburyport, Mass.?: Newburyport Press, 1969, 357 pgs.
This book has a lot of information that might hold the key to Moses Johnson's ancestors.I found it on Heritage Quest