Just a clarifying question: did she throw you and her daughter out at the same time assuming you would take care of her daughter for her?
Not trying to justify this action of hers. Was just curious.
She sounds like a very inconsistent person. I love you, one moment. I'm throwing you out, the next. I'm only staying one night. I stay 7 nights instead.
If you are having doubts about whether or not you can handle this type of behavior, I suggest you dig deeper and perhaps draft up a list of the pros and cons.
Do you think you would be better off without her, possibly alone the rest of your life, but looking for someone new? Or would you rather stay in an unstable and volatile relationship with her, not knowing if she will harm herself, harm you, or harm hers or your kids for the rest of your life?