I've only recently become interested in this integral piece of my family history, hopefully you'll catch the bug as well.
My 1718 Migration ancestors were the Thornton family who are said to be from the Strabane Valley of County Tyrone. We know that James Thornton said his father William was born in Tyrone County. William was born in 1713, son of James Thornton. There is a manuscript in the New York archives, which I have not read, which says the Thorntons were in Londonderry, Ireland during the seige, but little else. Many people believe that the Thorntons originated in Yorkshire, England, which would preclude them from being Scottish.
The Thornton Family arrived in Boston, probably on the ship the McCallum. They were part of the group who headed to Maine, first to Merrymeeting Bay and then closer to Bunswick. James had a homestead in Brunswick, Maine on the Rossmore Road. This home was consequentially burned by Natives in June of 1722. The family was forced to flee. I believe they found refuge in Marblehead.
There is a baptismal record for Hannah and Sarah Thornton in Marblehead in 1726. There is no further record of James and Catherine Thornton in Marblehead, so I believe that this is a record of their known daughter Hannah and unknown daughter Sarah.
James, along with other Marblehead Scots-Irish removed to Worcester, Massachusetts in the late 1720s. James bought and sold land, was listed in the meeting house seating records along with his two sons William, my ancestor, and Matthew, the signer of the Declaration of Independence. Worcester was not as welcoming to the Scots-Irish as they had hoped, and after some years, James and others purchased land for their own town of Lisburn/Pelham. James ended his years in the Scots-Irish stronghold of Derry.
Dickson, R. J. (1966). Ulster emigration to colonial America, 1718-1775. London: Routledge & Kegan Paul.