Barron Ancestry Scotland

Dear Sandy, I am William Nathaniel Gale Barron III and curious about family myths and Barron surname. The Barron's have been in America since the 1770' the US and supposedly came from Northern Ireland. One story is that we were Scottish Fitzgerald's who were moved to Ireland when Cromwell seeded Northern Ireland with protestants. On arriving in Ireland they changed the name to Barron in an attempt reduce bias against a Scottish surname. The brothers Joseph and Hugh Barron arrived in the US supposedly in 1770's and from Northern Ireland possibly Antrim County. I would greatly value your thoughts on this. Best Regards, Bill.