There is an actual refernce early about the Indians attacking a french trading ship on Peddock's Island. It was told by one of the involved Indians, and the Finch is one of those last killed by that incident. That was cleary before 1638, and by 1622, the Island was already referred to as "Peddock's Island" if I remember correctly. Fir. Gorges is shown arriving in that area (and main area's) starting as early as 1605. the Virgina Company established in England had sent people their before 1622 and had suffered greatly by many problems as well. (illness, starvation, indians). The Jamestown Massacre in "virgina" happened in 1622 I believe. I write all this here order for those "Links" that may be important to find other information. As we know, the Paddock name really was spelled many different ways, and you can often find a lot more info looking beyond the name.
Hope this helps. I know there are many other references available regarding Leonard. There is an old listing in the late 1500's with a "Leonard Peddock" in England at a property, but that doesn't mean the same one.