Could you give us a bit more information. assuming you're Peggy, can you give us your line of Finneys as far back as you know, In particular back to a finney alive in 1940 or earlier. This would let people find censuses for that person and then you could work back and see if your line connects to the main tree here on WikiTree. Then you could see there are a line of Finney's leading back to the Mayflower. Frankly it's a long shot that any particular Finney line is the Mayflowe line. But looking at the 950 Finney's currently with profiles here on WikiTree, a lot of them are from Plymouth, and some of them in the 1600s, so if you join here and work on it, you should be able to have the question answered. BTW, while I don't have it entirely entered here, a few years ago I did trace the spouse of one of my cousins back to the Mayflower, though not with her last name at birth. So there are twin boy Dardingers who had ancestors who came on the Mayflower.