poor chick

I can only suggest you carry on doing what you do... by eating and resting its a natural way of healing + growth.
but if the chick is in pain or unresponsive... i dont want to sound cruel and cold hearted but maybe have you considered putting the poor thing out of its misery?
from what you said about the animalcare/control... i guess it would have to be your and your moms hands.
personally id keep the chick inside, care for it, clean it, feed it, and give it love and attention. it might make a rebound ( i hope )
sad thing to hear