What was the social relationship like between the settlers in Jamestown, VA and pilgrims in Plymouth, MA? Did John Smith and William Bradford know or know of each other? Do we know what the groups thought of each other? Were they interested in communicating or did their separate missions keep them purposely isolated?
Well, the settlers in Jamestown likely didn't think anything of the Pilgrims since Plymouth Colony didn't exist. Jamestown was settled in 1607 and Plymouth in 1620. Captain John Smith also was forced to return to England in 1609 after sustain deep burn wounds from a trading accident, thus he wouldn't have been around during the period of Plymouth's colonization.
In terms of Plymouth' colonization, the Pilgrims, as they are affectionately remembered, did not have any ties to people in other Colonies. This is mostly because they were not just Puritans with strict Calvinistic beliefs, but they believed they needed to be physically separate from the rest of the world.(as outlined by Philbrick, Nathaniel, Mayflower: A Story of Courage, Community, and War). They also did not have a way to communicate with the Virginia colony during this early period either.