Are you an avid defender of the Oxford comma? AP doesn't like it, for the most part, and it makes the sentence more confusing than it needs to be, IMO.
One popular online example where the Oxford comma is (kind of) needed:
"To my parents, Ayn Rand and God."
In your sentence, however, it has the opposite effect. You say "George, and Bob" but continue with "both of." Do you see what I mean?
I guess I'm making pretty much the same point as Phil.
And why do you need the parentheses at all?
He had one son, Fred, with Mary Smith and two sons, George and Bob, with Barbara Applebee.
Or similar.
E.g.:
https://www.geni.com/people/William-de-Ferrers-4th-Earl-of-D...Or did I misunderstand something?
Best wishes