According to my research, the McCormicks were Gallowglass Scots recruited to fight in Ireland. Murdoch, the 6th Maclaine of Lochbuie, returned with around 18 McCormick swordsmen from his exile in Ireland to retake Moy Castle, the ancient Lochbuie home. The McCormicks have been a sept of Maclaine of Lochbuie ever since. If anyone out there has additional information on the McCormicks, I'd love to hear from you!
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Your research is correct. Additional information about the MacCormicks is detailed in the book “Siol Eachainn”... including earlier members of the MacCormick family giving service to St. Columba at Iona. Subsequent to the recapture of Moy Castle a MacCormick was usually a senior lieutenant to the Lochbuie clan chief at times of conflict.
http://somhairl.blogspot.com/2013/08/notes-on-one-of-most-obscure-clans-in.html
I'm curious about the accuracy of this research, please disregard some of the rude comments, they are views I don't share.