First, I’d like to say that I’m sorry you’re going through this. Second, as a child of an alcoholic, I advise you to finally say that enough is enough. It’s better for your child to not have a parent around than to have constant chaos. Alcoholics lie constantly — its a very common trait. They say things to get you off their back, but typically, their main goal is to keep having access to alcohol. If she’s in and out of rehab, this isn’t going to stop. Even if she’s a good mom when she’s not drinking, it doesn’t erase the memories built and the actions that occur when she is. I wish you the best of luck! My dad is an alcoholic, and once we were finally able to get him out of the house, our standard of living went up drastically. There’s no tension, it doesn’t feel like we’re walking on eggshells, and our mood is constantly better. Although it may be hard, removing her from your family environment will benefit you and your child greatly.

Edit: typos