I don't know if I remember wrong - considering I read the novel a few years back.
In the Webtoon it seems to suggest she's not really Penelope, or my understanding of it is that a part of her soul is.
I think in the novel it was said she was, in fact, Penelope, but was reincarnated in the "other world"/modern Korea, and then was recalled back to her original world through the game.
Am I misremembering things?