Good morning David, I am cleaning up old postings and saw this one.Probably of no help, but you know about our other family ties over the centuries (Brown, White).
Briefly, Ed is a descendant of an Elizabeth Dawson (1628-1678), wife of William Stickney, who were the parents of Faith Stickney (1641-1696). Faith was the wife of Samuel Gage, parents of Elizabeth Gage who married David Kimball.
David Kimball's lineage was from the MA area (as were all of the above) with their descendant, Aaron Kimball participating the Revolutionary War. This line would eventually marry into Ed's Crosby lineage there in MA/NH and then move on to MO.
Just a shot that maybe your Dawson line could have come from this old lineage.