I traced my ancestry to Martha Adams, married to James Rodgers (both born in late 1700s in PA).A post-em note says that Martha's father, William Adams (born ~1764 and married to Mary Elizabeth Hawthorne in 1788), was 2nd cousin to Pres. John Adams. I wanted to find the exact connection between the two--how are they related?The note says that William's father was George Adams (married to Jeannette Porter). Since Pres. John Adams is a descendant of Mayflower's John Alden, can I assume that William Adams was also?