Final answer:
The afferent nerve for vocalization to painful stimulation of the face is the ophthalmic branch of the trigeminal nerve, and the efferent nerve is the hypoglossal nerve.
Step-by-step explanation:
The afferent nerve for the vocalization to painful stimulation of the face would be the sensory fibers that carry the pain signals from the face to the brain. In this case, the sensory fibers would be the trigeminal nerve, specifically the ophthalmic branch of the trigeminal nerve.
The efferent nerve for the vocalization response would be the motor fibers that carry signals from the brain to the muscles involved in vocalization, such as the muscles of the larynx and pharynx. In this case, the efferent nerve would be the hypoglossal nerve, which controls the muscles of the tongue and throat.