Is black beard son Captain Hook?

No, Blackbeard and Captain Hook are not related. Blackbeard, whose real name was Edward Teach, was a historical pirate active in the early 18th century, while Captain Hook is a fictional character from J.M. Barrie's play and novel "Peter Pan." Hook is often depicted as a nemesis of Peter Pan and is known for his connection to Neverland, while Blackbeard is a well-documented figure in pirate history.