I think getting the H--- away from your mother sounds like a GREAT idea. She is still abusive and shows no indication of ever changing, and if she is allowed to be around your little girl, she will damage her self-esteem and maybe even her ability to FEEL her feelings. You are the mommy now, and it's your job to keep your little girl safe.
Aside from the parental duty, you have a duty to yourself. You have been hurt enough in your life. You didn't deserve it. And you do not deserve to be hurt any more. Obviously your relationship with your mother offers you nothing but further pain and rejection. So why continue it at all?
I hope this didn't sound insensitive. I'm sorry for the pain you have had in your life. I sincerely hope for you that you can find a way to get out of the cycle- to save yourself and your child from further injury. I'm sorry you had such a mean mom.
((((hugs))))) if you want them.
Angela