Book game boards from this period (late 19th-early 20th centuries) are usually for the games of chess, checkers and backgammon. On the board above you can see what an example of a two-volume game boards for chess, checkers and backgammon look like. This is one of many different variations. With its gold-tooled leather binding, it could easily be mistaken for real books if it was placed on a bookshelf. I have also seen the boards covered in paper, printed in chromolithography and in rustic handmade versions carved from wood.
This is a similar board, but a less expensive version, covered in printed paper (chromolithography), rather than leather. The title is Life of Hoyle, in two volumes. It is most probably a play on the popular book Hoyle's Rules for Playing Fashionable Games, published in many editions since the late eighteenth century.
The Games of Go Bang, Tivoli and Fox and Geese is another example of a book game board, less common than the chess/checkers/backgammon version. I have a copy in black but you can see here that it was also made in a dark red paper version. You can see it in person if you attend my exhibition next winter at the Grolier Club.
I hope you will all send pictures and descriptions of similar boards or other titles from the Club Series that you may see or have. Many games and puzzle containers are still made in book form today, it's an abiding tradition that has lasted more than two centuries. For an example of an even older book game box, see this post about the Heckman collection.