I have checked for a connection between the Rockbridge McKees and the New England family. What I found was a James McKean in Londonderry, N.H. The McKees of Rockbridge were part of a later migration to Lancaster Co. PA about 1737-8. Three brothers, Robert, William, and John moved to Kerr's Creek in about 1754. Kerr's Creek was then in Augusta, later Rockbridge, VA. Both William and John had sons named James.