More of a comment than a question, but with the stylised nature of the artwork, I kind of read the eyeballs as being eggshaped rather than ellipsoid. It's kind of hard to judge because of the flesh around the eyes, but I wonder whether you might have gotten a more satisfying shape with a mesh distort modifier? Gives you a more complex shape, and keeps the geometry smooth...
There was a video tutorial for rigging cartoon-y eyes somewhere on the site, but I went away and everything changed... ;)