She has a lot going on right now and because of her past, she is either not ready or hesitant to jump into dating or an exclusive committed relationship. You have to protect your own interest, so I would have a talk with her and tell her that you understand that she is going through a difficult period in her life, understand and support her, but you feel that she is just not ready to date or an exclusive relationship and when she gets herself in a good place to contact you for maybe lunch or dinner and take it from there.
I have a feeling that if you continue to pursue her at this point, she is just going to back off and I wouldn't want you to develope strong emotions with a person who can not respond to you the way you deseve to be responded. Express understanding, support and step back and when she is ready and if you are willing to give her an opportunity, then you can begin by just getting to know each other slowly and the relationship should naturally progress to a higher level. Good Luck, Judy
She sounds flaky to me(sorry) and that she's using the excuse that she needs to take care of her house, to basically back you off. She may not be looking for a serious relationship at this point, especially with her past relationships. Or of course she could just be scared of getting hurt again..sorry not much help here am I? lol
The best way to find out what is going on in her head is just to talk to her about it. She sounds like a very independent woman, she may not be used to having people help her and she is probably used to doing everything herself. You may have to get used to that, but I would still ask her if she needs help with the moving and if she says no, then just let it go... if she doesn't let you help her with the move, maybe just take her out to dinner or do something special to celebrate her new home instead?