Source : Webster's Revised Unabridged Dictionary (1913)

Sheep's-eye \Sheep's"-eye`\, n.
   A modest, diffident look; a loving glance; -- commonly in the
   plural.

         I saw her just now give him the languishing eye, as
         they call it; . . . of old called the sheep's-eye.
                                                  --Wycherley.