The Collaborative International Dictionary of English v.0.48:

Countor \Count"or\ (kount"?r), n. [From Count, v. t. (in sense
   4).] (O. Eng. Law)
   An advocate or professional pleader; one who counted for his
   client, that is, orally pleaded his cause. [Obs.] --Burrill.
   [1913 Webster] Countour