From my research: Mark Adams of Derry, Ireland m. Hannah Pettit. They were in Weymouth, NJ. and worked as iron moulders at both Atsion and Weymouth and Batsto.
One of the children was Mark Adams (your Mark) who married Catherine Hogan.
I only know that Mark was from Derry and their is no proof of this other then his say so in an military pension document. I don't know much about Hannah Pettit. There were other Pettit's working at Weymouth and it's possible she is related to Charles Pettit, who was a primary at Batsto. I'm thinking a poor relation.