Well, I can sure tell you about one Scot after Culloden, Hugh Mercer.
A physician by training, he ministered to the wounded at the Battle of Culloden and then fled after the defeat. The Brits (as you undoubtedly know) went after anyone associated with the battle, and, as things got hot for young Hugh, he emigrated to the US and settled on the frontier in Pennsylvania.
He was a physician and Indian fighter, and accompanied George Washington, Dan Morgan, Daniel Boone, Horatio Gates and others with Gen. Braddock going down to defeat at Braddock's Massacre during the French and Indian War.
He loved fighting, and after the war when the PA legislature disbanded the militia (the Quaker State, remember) he moved to Fredericksburg, VA (George Washington's hometown) and was a physician and apothecary there(you can visit a reproduction of his shop today in F-burg).
With the coming of the RevWar, he was put in charge of the "Flying Battalion" (a sort of as-needed army) and was with Washington crossing the Delaware and at Trenton. He died a hero's death at the Battle of Princeton, refusing to surrender to five British soldiers who bayonetted him. You can stand in the room at the Clark Farm House on the battlefield grounds in which Brig. General Hugh Mercer died. All of the Mercer Counties in the US are named for him.
After General Washington, General Mercer is my most beloved RevWar soldier.
Fascinating stuff about fascinating folks.