Capt, Matthew Fuller, of Barnstable - Matthew Fuller was not the son of Edward Fuller of the Mayflower

This affects the descendant lines of 4 of the 5 children of Matthew Fuller and his wife Frances Fuller

Mary Jones

Elizabeth Rowley

Lt. Samuel Fuller

Dr. John Fuller

But not the children of Anna (Fuller) Fuller who married Samuel Fuller (son of Samuel Fuller, "Mayflower" Passenger & his wife Jane Fuller)

Y DNA is the male line for descendants.

https://www.familytreedna.com/groups/fuller-family-finder/about/bac...

Matthew Fuller (born about 1605, died 1678) arrived some time after Edward (by 1640). Matthew married Frances and had five children -- some researchers believe Matthew was a son of John Fuller, brother to Edward and Samuel of the Mayflower. Others have suggested Matthew was a son of Mayflower passenger Edward. Matthew's parentage is still subject to evaluation, but Big Y DNA results indicate that Matthew was not a biological son of either Edward of the Mayflower nor his brother John.

William Russell was kind enough to update managers of his profile, so deserves the thanks.