New finds in Cockburn/Williams ancestry

My 5th great-grandmother was Frances Cockburn, wife of George Cockburn (1750-1799) of Martin and Edgecombe Counties, NC.  I had her maiden name as possibly Williams for a long time, but without much evidence.  (I can't remember where I found that now.)

I recently found a remarkable document online.  "Pedigree of My Mother's family, a part of which, is as was told to me by my Gr. mother,Mary Lanier, in 1856."  compiled by Cornelia S. Dickson ("Aunt Nealie") based on correspondence with family members.  This was posted to Geocities (!) in 1997 by Nita Munoz.

This document lists the children of one Joseph Williams Jr. and Mary Hix:

• Joseph Williams married Mary Hix daughter of Daniel Hix and his wife Edith Fonville, of Hix's ford, Virginia.
  His children were: Ben, Daniel, Theolopus, Hester, Susanna, Frances, Esther, Elizabeth and Mary.
  1. Ben Williams, son of Joseph, lived in Brunswick, N.C.
  2. Daniel Williams, son of Joseph, served through all of the Revolutionary War, moved to Dickson County, Tenn., which county was named for his nephew, Dr. William Dickson, as a compliment for services in Congress.
  3. Theolopus was killed.
  4. Hester Williams married Wm. Whitfield of Lenoir Co., Neuse River, N.C.
  5. Susanna Williams married Frederic Barfield, Duplin Co. N.C.
  6. Frances married George Cockburn of Birtie Co. N.C.
  7. Esther married James Morris of Newbern, N.C.
  8. Elizabeth married Charles Hooks.
  9. Mary married William Dickson of N.C.

Line 6 is clearly my ancestors, so this looks like pretty good evidence that Joseph Williams and Mary Hix are Frances' parents.

It also relates the following family tradition:
Theopolus and Ben Williams (fourth in descent from Oliver Cromwell through his daughter Frances) came from England. 
Theophelus Williams settled near Halifax, N.C. 
Ben Williams, Sr. married Christian Bryan. His sons were: Ben, John, James, Louis and Joseph.

If true, the bit about Oliver Cromwell is pretty interesting, that would be my most famous direct ancestor by far.
I think there is an error here about the husband of Christian Bryan.  I found another researcher that has done extensive research on the Williams family and he lists Christian's husband as Theophilus Williams rather than Ben (apparently they were brothers).

The Williams page can be found here.