Walleye: 1. A dense white opacity (leukoma) of the cornea. 2. Divergent strabismus (exotropia) in which the eye turns outward away from the nose. 3. Large staring eyes, like those of certain fish such as the pike.
All of these meanings relate to the walleyed pike, a freshwater perch. When the walleyed pike is dead, its large divergent eyes quickly become opaquely white. From the Old Norse "vagl-eygr," from "vagl" (beam) and "eygr" (eyed).