The Eye Assembly is the mechanical assembly that would've moved the eyes of Chuck E. up, down, left, and right.
The double-acting cylinder that makes it possible for the animatronic to move its eyes up and down is mounted to the fiberglass shell and onto the assembly of the double-acting cylinder that makes the eyes turn left and right.
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The Eyelid Assembly is the cylinder assembly that controlled the eyelids of Chuck E.
The two single-acting cylinders that control the eyelids would be bolted into the base of the head and would connect to the eyelids via the piston rods alongside springs going back onto the cap of the cylinder. These eyelids would be synchronized in movement by being connected by a 3-way connector piece.