The Collaborative International Dictionary of English v.0.48:
Wall-eyed \Wall"-eyed`\, a. [Icel. valdeyg[eth]r, or vagleygr;
fr. vagl a beam, a beam in the eye (akin to Sw. vagel a
roost, a perch, a sty in the eye) + eygr having eyes (from
auga eye). See Eye.]
Having an eye of a very light gray or whitish color. --Booth.
[1913 Webster]
Note: Shakespeare, in using wall-eyed as a term of reproach
(as "wall-eyed rage," a "wall-eyed wretch"), alludes
probably to the idea of unnatural or distorted vision.
See the Note under Wall-eye. It is an eye which is
utterly and incurably perverted, an eye that knows no
pity.
[1913 Webster]