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The coat of arms might assist in identifying the region that the medal is associated with.

And if you're curious about researching further, I would look for a city/region crest with those 3 hills depicted in the shield. In the case of Switzerland, I have not seen that crest, and usually they don't fail to mention the Kanton or have some reference to Switzerland on medals, but I'm sure there are exceptions as this is a canary breeder's medal, not a shooting medal after all.

There the possibilities would be limited to a town in the Catholic Kantons of Sankt Gallen, Appenzell, Glarus, Schwyz, Uri, Nidwalden, Obwalden, and perhaps Graubuenden.