Do you really want to be with a woman who would throw her child into the street?!? This is an 11(?) year old child. In my world, that's still a baby...

Even if she was the last person in the world, that would be it for me.

She clearly needs help. Whether you want to stick it out with her is up to you, really. Perhaps your tolerance level is higher than mine.

And I really am suspect that she's stopped the drinking.

Please don't compromise. Maybe seek professional help to see WHY you think she's your last chance.