Krazi I'm a stay at home mom and she would definitely appreciate a cup a coffee sometime and some adult conversation (I've been there). You could also offer her some help like as a mother's helper. You help out around the house while she's there. It gives both her and you a chance to get to know each other and build some trust. If she's a new mom it's hard to want to let anyone else take care of your precious baby. I was a 'mother lion' for a while when my boys were little babes.

Hope this helps!