Yes, Endeavor was in the 'second wave' arriving 1683. Lots of ships listed as part of the overall Penn inspired migration everywhere but the Welcome Society. I guess I don't quite understand their criteria (not that the Society interests me).
As relates to finding the first voyage of John Pearson, brother of Thomas, and whether Thomas was with him it seems that so many passenger lists are incomplete that proving or disproving that is likely impossible, yes?
I've got a number of ancestor profiles in the Penn category so I guess I should join the group at least for a time.