Just saw a book that might be interesting " Alex and the Wednesday Chess Club" by Janet Wong. It's about a four year old that loves chess until he gets defeated and then stops playing until he gets to 3rd grade and picks up the game again after not doing so well at football. The book is about the lessons about life expressed via the game of chess. It's written for kids aged 4 to 8 years old.

The site also mentions that there are not that many fictional books for kids about chess. :*(