I think she likes you. Why won't she tell you? In this case there are many reasons. If she said she's not ready to date because of her bad relationships and her daughter, then maybe she was telling the truth here. Chances are she hasn't said anything because she figures it will hurt your feelings. Which really makes sense, because regardless of the intent, it always feels like a cruel game or some sort of tease to say to somebody, "I really like you, but I can't date you. I'm just not ready." wouldn't you agree?
There are other possibilities. I think that it's also possible that she, like so many girls out there, still cling to archaic beliefs that they guy MUST make the first move, no exceptions. It's bullshit really but there are still all too many girls that hold tight to this belief like all reality will tear itself apart otherwise. Really though, I don't think that's what's going on here. It really could be the other thing. You never know.
I think if you really want to sort all this out, I think you need to go over to this girl and tell her how you feel if you're interested in dating her. If you like her you need to tell her that. You need to ask her yourself, in a very point blank manner, how she feels about you. I would also suggest telling her the truth about everything. If you're still not sure what all this means, then tell her. If you are very clear about your feelings for her, and don't picture yourself going anywhere, tell her. It's pretty straightforward. You need to be ballsy about it but remember that this is entirely up to her.
Look man I'm rooting for you here. I want you to get the girl, if you want her, but I should level with you, the most you can do here is just put your heart out there and tell her how you feel, and ask her if she feels the same way. From there it's up to you if you want to wait it out. But you never know if she'll come around.
Good luck dude.