**Core Concept**
The corneal reflex, also known as the blink reflex, is a vital protective mechanism that helps prevent damage to the eyes. It is an essential component of the trigeminal-oculomotor reflex arc, which involves the coordination of sensory and motor functions to protect the eyes.

**Why the Correct Answer is Right**
The afferent component of the corneal reflex is mediated by the ophthalmic branch of the trigeminal nerve (V1). This branch contains sensory fibers that innervate the cornea and transmit signals to the brain in response to tactile stimulation or injury. The trigeminal nerve is responsible for conveying sensory information from the face, including the eyes, to the brain, where it is processed and integrated with motor responses. The afferent fibers from the cornea synapse with neurons in the trigeminal ganglion, which then relay the information to the brainstem, specifically to the pontine nuclei, where the reflex is integrated.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because the afferent component of the corneal reflex is not mediated by the facial nerve. The facial nerve (VII) is responsible for controlling the muscles of facial expression, including the orbicularis oculi, which is involved in the efferent component of the corneal reflex.
* **Option B:** This option is incorrect because the optic nerve (II) is responsible for transmitting visual information from the retina to the brain, not for the afferent component of the corneal reflex.
* **Option D:** This option is incorrect because the glossopharyngeal nerve (IX) is responsible for transmitting sensory information from the tongue and other structures in the pharynx, not for the afferent component of the corneal reflex.

**Clinical Pearl / High-Yield Fact**
The corneal reflex is an important clinical sign that can be used to assess the integrity of the trigeminal nerve and its connections. A diminished or absent corneal reflex can indicate a variety of conditions, including trigeminal nerve damage, facial nerve damage, or lesions in the brainstem.

**Correct Answer:** C.