c.1300, wawil-eghed, wolden-eiged, "having very light-colored eyes," also "having parti-colored eyes," from Old Norse vagl-eygr "having speckled eyes," from vagl "speck in the eye." Meaning "having one or both eyes turned out" (and thus showing much white) is first recorded 1580s.
walleyed wall·eyed (wôl'īd')
adj.
Having a walleye.
Affected with walleye.
Having large bulging or staring eyes.
Having eyes with distended pupils.
Drunk (1920s+)