Dating someone with the same name as your ex
It was a mistake but they had enough respect not to continue to hurt the other person.
This could lead her to cheat on you again or even worse stay in a non-attraction based relationship.
The truth is that a relationship dies once you step outside of it, particularly in your case.
It was your first love and first loves always come with a strong sense of innocence and vulnerability.
Then there is the question of why she is talking to you now.
It could be that she genuinely wants to be with you and loves you.