Am also researching the surname Beith, so far in Inverkip, Renfrew. But looks like could be a connection with Largs, Ayrshire. So far have John Beith m: Janet Shearer 9 Jul 1757 Inverkip. Their children, James Beith b:1759, William Beith b:1762 and my ggggg-grandmother Agnes Beith b: 23 Nov 1766, all born Inverkip. Beith is not the first surname I am researching that doesn't seem to have a Clan association or listed as a Sept.