According to The Genealogy of the Eddy Family printed in 1881 which I found on Google books online, the Eddy brothers, John and Samuel, sailed from London in the ship Handmaid, John Grant, Master, on the 10th of August 1630, and arrived at Plymouth, Mass, Oct. 29, 1630. John Removed from Plymouth to Watertown, Mass, 1633.
This date would make it about 10 years after the Mayflower landed, but I'm sure there were some of the original Mayflower Planters still around.
Sarah