Family Law Questions? Ask a Family Lawyer Online.
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If you are saying that the mother has essentially abandoned the children in your care, then you could contact the local courts and file a petition for emergency guardianship so that you would become their legal guardians and the mother couldn't remove them from your custody.
Assuming that the petition is granted, then you could move towards a permanent guardianship so that the mother would not be able to ever take them away from your custody.
I would suggest contacting a local family law attorney or the local Legal Aid office to see if they could help you get the petition filed so you could ensure that you can protect the children from their mother's self destructive actions..