Hi Karen, I may have stopped too soon. Per my records James(1605-1684/85) came to the America on a passenger ship called the "Elizabeth" with his wife, 2 daughters, and 2 maids in 1637. His father,Stephen (1570-1632) is listed as a Pilgrim in the book titled "Sixteen Hundred lines to Pilgrims". There was no actual mention of the Mayflower as it relates to Stephen. I hope this helps. Let me know if you find him on the actual list.