Thanks, James Griffin, for raising the question. I've been working on it for a while and I still don't know a lot, but here's my best guess: It's easy to trace the Gilead, ME and Shelburne & Gorham, NH Larys back to Wolfeboro. Then we lose the trail. It seems like they came from Exeter, but there's little documentation.
Starting on the other end (which is risky, I admit), there are Larys in Lynn, MA and Exeter, NH as early as 1657. (There's also an earlier reference to a single Lary woman in Charlestown, MA as early as 1639, but I suspect this is an unconnected coincidence.) I believe the Lynn & Exeter Larys were part of a shipload of Irish "servants" -- more like temporary slaves -- kidnapped in Cork, Ireland in late 1653 and shipped to New England -- most likely to the Lynn, MA area.
Katherine Lary, who was put to work as a barmaid in Lynn, possibly married George Darling, then disappears from the record. Cornelius Lary, who was put to work as a hog tender in Exeter, later gained his freedom, acquired land, and had several children.
There is a gap in the documentation, making it so far impossible to definitively connect the Cornelius Lary family with the Larys who settled Wolfeboro. I am convinced that is the link, however, and we just have to keep digging. If anyone has any light to shed on this, PLEASE share.