Eva,
I hope that your mom is in a good program and they won't release her until she is ready. I hope they will involve you in the process.
I'm so glad that your daughter is back in rehab. I think guarded optimism is appropriate. I hope that she is ready for change, they are able to reach her in some way this time, and she takes advantage of some of the mental health care they will no doubt offer her to increase her odds of long term success.
I hope that she succeeds and is able to raise her daughter one day soon, but in the meantime, I'm glad that you are there to take care of her and let her know she is loved.
All four generations of women in your family are in my prayers today