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Butch & Co.Sincere thanks, guys, for the additional feedback.
Josh, true -- one of these days when we have a few weeks available some afternoon, we'll try searching through a couple of decades of patent grants and see if we can identify the game in there... 
Leon, we've never seen a single other example of this game ourselves. The game is Inside Baseball -- interestingly, perhaps (assuming "1910s" is correct for its origin), it would be one of very few games from that era or earlier (there are a small handful, though) to have "Baseball" as one word. The manufacturer was the Washington Game Company of DC.
http://members.aol.com/Butch7999/Baseball.htm