Hi, Licorice!

Just off the top of my head, there's "The King's Chessboard" by David Birch (which is actually more about exponential doubling than about chess), and of course Lewis Carroll's "Through the Looking Glass."

I will think a bit, and see if I can turn up a couple more for you. (Wish you lived nearby and your son could give my son a game!!)

peace
minnie