Ummmmm...... I don't often say this, but every now and then I hear about a mother or father so profoundly screwed in the head that I honestly wonder if the kid is safer in the program than at home. Mind you there are other options such as other family members, friends, or paying a couple of homeless people off the street to watch the girl before a program becomes a larger non-option than it was before.
Now it sounds to me like the real problem in this house is the dad. So why not send dad to a program? They have some very affordable ones for adults called state prison.
Not sure what else to say other than how fucking stupid is the lady?