I have read Gordon Welchman's The Hut Six Story: Breaking the Enigma Codes and found it quite interesting as some of the players are mentioned. Gordon was in charge of this group which included famous players: C.H.O'D. Alexander, Stuart Milner-Barry and James M. Aitken. It was also closely associated with Hut 8 which was headed by Alan Turing and also Harry Golombek. Golombek played chess against Alan Turing in quiet moments at Bletchley Park, giving the computer pioneer a queen and still winning.
Some additional reading:
Bill Wall Article at Chessdotcom
The Telegraph has a nice article HERE. C.H.O'D. Alexander is mentioned.
Roy Stevenson article about the Museum
Mathemeticians and Chess Players Who Cracked the Enigma Code
Bio of C.H.O'D. Alexander at St. Andrews
Visit Bletchley Park
Kingscrusher has a 47-1/2 minute Youtube video featuring games by some of the players: Bletchley Park Chess Codebreakers
Some book excerpts from Google:
Colossus: The secrets of Bletchley Park's code-breaking computers by B. Jack Copeland and The Bletchley Park Codebreakers By Michael Smith