Final answer:
Accommodative vergence is the stimulus driven by neural innervation, coordinated by the accommodation-convergence reflex and involving the parasympathetic control of the ciliary body through the oculomotor nerve.
Step-by-step explanation:
The involuntary vergence stimulus that is driven by neural innervation is accommodative vergence. This response is coordinated by the accommodation-convergence reflex, which involves the somatic control of the medial rectus muscles along with the parasympathetic control of the ciliary body.
As visual stimuli approach closer to the face, requiring convergence of the eyes, there is simultaneously a change in the shape of the eye lens—termed accommodation—controlled through the parasympathetic fibers of the oculomotor nerve. This accommodation ability changes with age, and may require corrective lenses to focus on near objects such as a book or computer screen.