The name is believed to be Leonard Paddock. "Peddock Island" was named after him. This Island is on of those just off the Boston Bay. In historical, and in other references - you may see the last name spelling of this Island messed up a bit.
When I was researching Robert Paddock in Ireland, I did not that Robert had a relative that did travel on a ship, and may have been involved in Trade. There is mention of a Paddock that went to either India (or Indies).
Leonard Paddock was believed to had landed on "Peddocks" Island before the Mayflower arrived. and other early ships, abt 1622. There were early settlers before the mayflower, and majority of those died from the plaque whiping out many, including the Indidans in the region. Small References to a few who may have survived that were settlers. I believe I remember reading that they may have been French that came in that time.
I am going off my memory here because I have so much info to go through. Hopefully, this will help you back track and find the link.