Walleyed: 1. Having exotropia -- divergent strabismus -- in which the eyes turn outward away from the nose. The Japanese term is ron-pari, as one eye is looking at Rondon (London) and the other is looking at Pari (Paris). 2. Having a dense white opacity (leukoma) of the cornea. 3. Having 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).