Thanks. I have to confess that I haven't actually read the book - I've just been looking at other people's citations of the book. I've also heard of multiple Mayflower visits, but Giles Hopkins and his father were definately on the 1620 Plymouth trip.
There seems to be a lot of info that Giles' daughter, Deborah married Josiah Cooke. (A lot of folks seem to claim that Josiah was the son of Francis Cooke - another Mayflower passenger, but I've read info that disputes that, so I don't claim it.) As I uderstand it, the Lamkin Book then shows Deborah and Josiah had a daughter, Elizabeth, who married Thomas Newcomb, and their daughter, Deborah, married Thomas Lamkin. Then it's several generations of Lamkins, according to the citations I've seen, until my g-g-grandmother, Martha, b.1847 and who my mother actually met in about 1930.
I only found out Martha's maiden name earlier this year - then I heard about the Lamkin book, and I've been trying to follow the trail.