I am inclined to marry her but realize that absent the baby I wouldn't choose to do so at this time
OK, so I wasn't raised Catholic. And my HP sees more to the heart than to rituals & routines. Here's my thing: If your GF says she wants you in the baby's life but she doesn't need you guys to get married --
listen to her.
It sounds like one of those situations where both of you are doing
what you think the other person expects, and that's rarely a good thing.
If I were in that situation, I would probably wait and get married when it felt right -- maybe get engaged to mark your commitment without all the legal implications. BUT I'm saying that living in a live-and-let-live state and without religious family breathing down my neck.
And congratulations -- both on your sobriety and the baby.