it's Goudey and it's a toy, and I think it's really cool. 

 The game is called "ROLL 'EM BALL GUM" and consists of a group of eight boxes produced by The Goudey Gum Co. probably in the 1930's.  It appears that the boxes are intended to be used like dice in conjunction with a small, solid metal top.  The top has a collar that spins on the shaft to make various matches of hits and outs with balls and strikes.  The top has a patent date of 1921 on it, but I don't think that has anything to do with this particular application.  I have no idea how the game is played beyond that.  It appears that the set is complete at eight boxes for a few reasons.

-  They are numbered on an inner flap 1 through 8
-  Some of the sides refer to "Use Black Box" or some other color.  There is no reference to a color not here.
-  On an inner flap there is a different color of stripe on each box.  Again, no other color is shown.