You stated that your mother had "Temporary" custody; if the Temporary Custody Order
will terminate soon, your mother should just try and stick it out; Otherwise, she might have legal problems if she just gives the 16 year old her walking papers because she can be charged with abandonment, contributing to the delinquency of a minor, failure to care for a minor over whom she had custody and a myriad of other criminal charges against her.
Unfortunately, it's not that easy to give up custody once you get it.
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