If the mom had a prescription from the medical doctor, there would be no problem. In other words, a prescription that mom can use the hospital approved medication for home use. However, for further thought, if the physician ordered the medication, the patient should be given it. Not only that, the patient could decompensate, especially if there was a problem with a reaction or breathing problems. A child can sleep through a reaction. Wake the child up and give the medication as ordered.