[ Ref. https://www.youtube.com/watch?v=AvjknkyJMKI 

The melody sounds more like a traditional German half-march than
modern US-American.  In my personal computer registry of twelve
thousand tunes on around one hundred thousand music box and organette
discs, I find only two "Missouri" tunes:

1. on 11 cm (4") 0654 Edelweiss/Thorens/Reuge: "Au bord du Missouri"
(by the Missouri).  Unfortunately they never wrote any composer's
names, and I have not found where to listen to it.

2. It is evidently not cob 251, "Missouri Waltz" ("When I was a
piccaninny"), by K. W. Logan, which I often sing to QRS Word Roll:
http://cobs.rollerorgans.com/data/media/midi/1251.mid 

Greetings from Sweden,

Roland von Malmborg
Saltsjöbaden, Sweden

 [ A thoughtful article about the origin of "Missouri Waltz", the
 [ American pop song by Logan, published by Forster Music, is at
 [ http://archive.fiddlesessions.com/dec06/Marshall.pdf  -- Robbie