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:
- bid for the right to improve your hand by discarding cards and replacing them from the stock;
- vie (bet) for who has the best ruff (longest suit);
- declare your gleeks and mournivals;
- play the cards in tricks; each trick scores and certain trumps have an additional value.
David Parlett's Gleek page gives rules of the game and some historical background.