Kenneth, I suggest you have your y-DNA & autosomal DNA tested through Family Tree DNA and join the Boyne/Byne surname project to see if this will help you find your Boyne ancestry.
My brother Miles Cain has had his autosomal DNA tested (Family Finder) so your results should show a link with his as you are very likely distant cousins.
Best wishes
Marsha
(A descendant of Michael Boyne)