Gala
Well, I think, It seems so far, that she doesn't mean any harm by mentionning her name, it is just that she has been so long a time with him and she has lot of memories, and your relation is new, you said. I would think that after a few months with you, she will just forget him and mention his name less and less.
If she relates of him as someone she doesn't like, that's not that bad, but if she does by saying things that makes you think that she longs for the other guy, ask her if she feels that's not really over with him and what she really thinks of her relationship with you.