Correction:if I follow correctly the somewhat confusing account attributed in 1911 by Mrs. Wright to Burk's Peerage, then John Alexander who settled in Carolina was not the half-brother of Rev. James Alexander b. 1634, but rather his first cousin once removed.I take it that John the emigre was son of the one they called Robert Alexander (the 1st), who was uncle to Robert the 2nd, rather than John being the son of Robert 2nd.It also seems more likely that Rev. James Alexander b. 1634 was the son of Marion Hamilton, Robert 2nd's first wife whom Burk says he married in 1633, rather than his second wife Janet Orr, unless Marion died, Robert remarried, and James was born awfully quickly.Your information had Rev. James' mother possibly being "Mary Hamilton," so this is probably a match to the line you are researching.If you have any evidence connecting this line to any of the Mecklenburg County, N.C. Alexanders, I would appreciate it.