Technically not a book, but I believe it's sourced from a few book-volumes...
For those who don't already know: A very interesting & different perspective on the history of the game can be found on the SABR website, where there are articles on every single one of baseball's Winter Meetings, beginning in 1857... Lots of cool stuff including the evolution of the game's rules, amateur vs professional, player trades (& non-trades/rumors), expansion & relocations, labor relations, majors vs minors, internal politics of owners/league presidents/commissioners, television, lights, etc... and of course the evolution of the structure of what came to be major league baseball itself... Lots of good stuff!
Just go to sabr.org and in the search bar type "winter meetings" to see a selection (if you want to start randomly), or type in "1857 winter meetings" to start at the beginning (or use a specific year if that's where you want to start)... Several months ago I started in the late 1890's and read them all chronologically. Recently I went back to the beginning and now I'm in 1870... Each year is maybe a 10-15 minute read...
