Bigkahuna,
I didn't actually find the lineage myself. My Grandmother was big in geneaology before she died, and used to brag about how we had no black sheep in the family....until she found blackbeard. Anyway, the best I can do is pass on what she told me.
Baron Owen Theach (sometimes spelled Teach or Thatch) of Wales had two sons, John and Edward. Edward eventually becoming Edward "black beard" Theach (Teach, Thatch, Thach, etc.) the pirate. John was a lawyer and led a good life, eventually immigrating to North Carolina. John married a Mrs. Elizabeth Weeks. Their Daughter, Elizabeth Theach, married Willoughby Adams. Their daughter, also named Elizabeth Theach, married Baron John Davis (also from Wales). Their daughter Cecelia Davis, married a man by the name of Pope (We don't know his first name, but it might have been Clinton). They had a son who was named Owen Clinton Pope, who then married Sarah Singuefield. Cecelia and Pope also had a daughter, Mary Wilde Pope, who married a man by the name of Ephraim Jordan. Mary and Ephraim had a daughter by the name of Martha Elizabeth Jordan, who eventually married Thomas Turlington. Their daughter Sally Mae Turlington married William Bailey Greene. Sally and William had a daughter, Martha Sue Greene, who eventually married John Charles Cripps. Martha and John had a son whom they also named John Charles Cripps, who eventually married Diane Johnson. John and Diane had.....me....
So, there it is according to what my Grandmother gave my Dad and I before she died. She only gave me the names of the children that continued our line, and so not all the children from each union was included. Our family tree takes up a whole wall in a room without the addition of the other siblings branching off.
As for NQG, I wouldn't call it "historical" as it's mostly the hollywood pirate variety, but sure, what the heck. If you want to do it, be my guest. Put a plug in for my Maritime reenactment group while you're at it.

Cheers,
Adam C.