I am a descendant of Mayflower Passenger Richard More and a member of the Mayflower Society based on my descendancy from him & other Mayflower folks.
The Mayflower Society has published a book (available from the Society or Amazon.com) titled "Mayflower Families Through Five Generations" Volume 15 James Chilton-Richard More which covers Richard More's family's first five generations. There is also a paperback book (available from Amazon.com) which is a good 2nd source and in some ways not as dry as the Mayflower book and also covers Richard More's ancestry which the Mayflower does not get into because of his bizarre ancestry and his bigamous marriage: title: "Mayflower Bastard - A Stranger Among the Pilgrims" by David Lindsay.
I also have combined information from both books in my Rootsweb link. If you want that, let me know.