Sometimes it's not only the addict themselves that we need to distance ourselves from. Unfortunately, you mother sounds every bit as toxic as your father. It's totally up to you whom you allow in your life and that of your new baby. Of course, that would require you to not accept calls or visits from them. A boundary is only as good as the person setting it is at maintaining it.
Welcome to SR! There are a lot of very kind and supportive people here. Stick around and read and post as often as you wish. You might also want to check out our Friends and Family of Alcoholic's Forum.
http://www.soberrecovery.com/forums/...ly-alcoholics/