Hi Jim,
I think that you will struggle to make this link !
Most vernacular buildings in Scotland are of masonary construction with a small number of shutter formed clay walled agricultural buildings but I have yet to see a timber framed building in that country however that does not mean that they do not or did not exist at one time or another.
It is now emerging that a fairly extensive tradition of cruck building was employed for both house and barn but with stone rather than timber walls. It is also possible to see hammer beamed roofs and collar purlin roofs but these do not tend to be found in combination with timber walls and so it is in my mind doubtful if Scottish "clearance" carpenters would have been able to take the building tradition that you describe above with them from Scotland to the new world.
Please note that the people are called "Scots" and the alcoholic drink is called "Scotch" and so you should not describe barns as being Scotch barns unless these are being used to store whiskey.
Regards
Ken Hume