This three player game was popular in England in the 16th and 17th centuries. The name must be related to the German gleich (equal); a gleek in this game is a set of three equal cards, and four of a kind is called a mournival.
Gleek was a fairly elaborate game in four main stages:
David Parlett's Gleek page gives rules of the game and some historical background.
Another reconstruction can be found on the Gleek page of the Medieval and Renaissance Games site.