Shirley, you asked if the Andersons went to America.
YES...those from Ireland and there were a lot, came to Pennsylvania before 1786.They moved south through Virginia to Tennessee, South Carolina, Mississippi. They are my father's ancestors.
The McTyres, Adairs and their ancestors from Scotland to Ireland to North Carolina.See James Adair who wrote a book on the Cherokee Indians for a lot of info.His daughter Sarann married William McTyre and they and James Adair were in Dobbs County, North Carolina by 1759. They are my mother's ancestors.