Allie, my heart goes out to you. I agree with you that your daughter should not be exposed to this environment. It is too "adult" and confusing to her, I'm sure.
If I understood your last post correctly, a doctor has given your mom pain pills and pills to stop her from drinking. He may have given her Antabuse, which should make her very sick to her stomach if she drinks on top of them. Or he could have given her something newer that may inhibit the desire to drink. However, I doubt either of them will work at this stage. She may refuse to take them or drink anyhow, etc. She very well could have a fracture from a fall, or even a stress fracture.
I agree with Pink Grandma that deep down she probably feels ashamed. However, as a sober alcoholic, I can tell you that the main reason she is refusing help, hospitalization, etc., is that it would interfere with her drinking...which is the last thing she wants. You can only help an alcoholic if they have a willing spirit--and from what you've said, she's definitely not willing. I know when my alcoholism was bad, I didn't want to be anywhere that I couldn't drink or where I would be watched. I certainly didn't want anyone in my home who could see how much I was drinking.
Please do not allow yourself to feel guilty whatsoever. You have done nothing wrong. You have to take care of yourself and your daughter. At the rate she is going, your mom is not going to be in misery much longer.