The Dictionary of North Carolina Biography includes a biography of Alexander Craighead that states, [1]
Craighead, Alexander
18 Mar. 1707-Mar. 1766
Alexander Craighead, maverick Presbyterian minister in Pennsylvania, Virginia, and North Carolina, was born the son of the Reverend Thomas and Margaret Craighead, near Donegal, Ireland. …
Craighead was married to a woman named Jane, whose surname is not known. He left to her his plantation and slaves. Their children were Margaret, Agness, Jane, Rachel, Mary, Elizabeth, Robert, and Thomas. Agness married the minister William Richardson, and Rachel married David Caldwell, who was also a minister. One of Craighead's sons, Thomas, entered the ministry and at one point in his career served the Sugaw Creek Presbyterian Church.
[1] David T. Morgan, "Craighead, Alexander," Dictionary of North Carolina Biography (1979), [URL].