Hi Ken 
 
That last pic from the Met you posted......... 
 
Notice the one pouch to carry lead balls.  This makes sense.  That's why I think the container with the flexable, leather neck may have been designed to carry smaller bird-type shot.  Sort of a crude variation of a European leather shot flask.  The leather neck would help center the flow of the tiny shot into the barrel or hand for loading.  Just my guess.   
In any case, I believe your set is probably from the same location as the other pics posted here. 
 
Rick
		 
		
		
		
		
		
		
		
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