The Collaborative International Dictionary of English v.0.48:

Overstare \O`ver*stare"\, v. t.
   To outstare. [Obs.] --Shak.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Overstare \O`ver*stare"\, v. i.
   To stare wildly. [Obs.] --Ascham.
   [1913 Webster]