Occulomotor nerve (CN III) controls levator palpebrae so yes, the eyelids are controlled by cranial nerves.
number III. oculomotor
The third cranial nerve, the oculomotor is responsible for blinking and most other eyelid movement.
Cranial nerve III (CN3) is responsible for keeping the eye open. Cranial nerve VII (CN7) closes the eyelid.
lateral rectus
The sternocleidomastoid and trapezius muscles are controlled by the accessory cranial nerve. Some call it cranial nerve XI.
The Olfactory nerve. CN1 Cranial Nerve I, or the first cranial nerve called the Olfactory nerve.
The second cranial nerve is the optic nerve.
The nerves involved in diplopia include three cranial nerves: the oculomotor nerve (third cranial nerve), the abducens nerve (sixth cranial nerve), and the trochlear nerve (fourth cranial nerve).
Cranial nerve 4 (IV) is the trochlear nerve.
cranial nerve I: olfactory:smell cranial nerve II:optic:vision cranial nerve III: oculomotor: 4 of 6 eye muscles cranial nerve IV: trochlear: cranial nerve V: Trigeminal cranial nerve VI: Abducens cranial nerve VII: Facial cranial nerve VIII: Vestibulochlear: hearing cranial nerve IX: Grosspharnxgeal: saliva formation cranial nerve X: Vegus cranial nerve XI: Acessory Spinal: trapizious movement cranial nerve XII: Hypoglosseal: toungue movement
Cranial Nerve 2 - Optic Nerve
The olfactory nerve, or 1st cranial nerve.