from Justice Society of America #27 (July 2009)
Post-crisis once Lyra was said to be adopted by Miss America and her husband. And that Lyta’s biological mother was the “golden age” Fury. There was still the mystery of who her father was.
Iron Munroe was later revealed to have a son with Phantom Lady. So I wouldn’t want it to be him.
I always liked the theory that the Garrett Sandord Sandman was Lyta’s father. Which ties in to why Hector was later chosen.