Girl (38f) I (39m) met as a marriage prospect keeps bringing up her past relationship

I met this girl some time back as a marriage prospect (we connected through a matrimonial platform). We're both divorced.

We've been having a good conversation so far. Have also met a couple of times. But one thing that keeps throwing me off is how she keeps bringing up her past relationship. Saying stuff like - I used to love our showers together, I loved how romantic he was with me etc etc.

Now this guy, he cheated on her and ultimately left her for his (supposedly) childhood flame, that's the story I know. And there's a reason he's in the past and not her present.

I acknowledge that she has some good memories from her past with him. And I in contrast did have a very bitter first marriage (though I'm way past it now). Also her divorce was more recent.

As someone who wants to move forward, I feel concerned that whether she has actually moved on from her past or is still clinging to it? Or are my thoughts colored from my past? Because I don't want a relationship that is full of comparisons.

What do you say I should be doing?