Starman

Learning that previous holder of the cosmic staff was not Courtney from JSA in Legends of Tomorrow but is her “dad”( no spoilers I haven’t read the comics) so how does this realign? Was it just possible that Courtney passed it down to a boy who passed it down to someone else name Courtney?or is it possible that Star girl in the JSA never existed because she was in a different earth? But on Earth 90 there was Star Girl so maybe it had something to do with the new universe or just simply being a different earth. I was hoping for some insight cause I’m having some hard time trying to figure out where the show lies near the arrowverse.