Four of the cranial nerves supply parasympathetic innervation to the majority of the body's glands and internal organs; the oculomotor nerve (III), facial nerve (VII), glossopharyngeal nerve (IX) and the vagus nerve (X).our of the cranial nerves supply parasympathetic innervation to the majority of the body's glands and internal organs; the oculomotor nerve (III), facial nerve (VII), glossopharyngeal nerve (IX) and the vagus nerve (X).