Mauser Mfg. Sterling shaker...but what kind?

Attached photos are of a Mauser Mfg. Sterling shaker #1603. It’s 3 1/8" tall. The odd construction (splits in half) leads me to believe it is something other than a Salt or Pepper shaker. Can someone kindly verify what it actually is?

Thank you in advance,
John
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Hi there and thanks for joining us. Perhaps for powdered sugar? Very nice item…Mauser is my favorite.

Regards,

Uncle Vic

I thought about that. All the Sugars I found were twice as tall though. An individual Sugar maybe?

Best,
John

Or nutmeg?

Uncle Vic