Here's what's inside this box.  There are three bellows that are pumped by a crankshaft and a fourth bellows that appears to be a reservoir.  It looks like these bellows are designed for suction rather than positive pressure.

I found this label inside the box.  It says, 

DIRECTIONS.

Keep all the frictional parts carefully lubricated with tallow.  If there should be any squeaking in joints inaccessible to tallow, use a small drop of kerosene oil.  If the Rubbers on the music feeding rollers, the reeds, or any other of the operating parts of the instrument should give out, you can have them duplicated, at a trifling cost, by applying to us.  See that the upper feed roller always revolves with the lower feed roller connected with the turn handle.  In putting on new rubbers use a little water or alcohol to make them slip on easily.

THE MECHANICAL ORGUINETTE CO., New York,

No. 11 East 16th Street, New York.