I am going to pass on this one, for two reasons:
1) I am too biased about this piece. I have known it since I was a toddler, probably before I knew any real piano music. My late grandmother had a lovely Swiss music box (which is now in my possession) and this is one of the tunes on it. Whenever we went there, first thing I did was run upstairs, wind the music box and sit there in rapt wonder. It still it is a very sentimental sound to me, and I just can't envisage this music to sound any other than this. Attached is a picture of the music box (on the on the beautifully handwritten chart, it's the title at the bottom), and a recording of it playing this tune. The noise at the end is the cylinder slotting back into its initial position (of course that was part of the fascination as well).
2) I do not believe this is an original piano composition. I have played through the version that juufa posted but it seems to me like a rather crude and boring transcription. Could be wrong about it, but playing it gave me no satisfaction.
But y'all have fun with it ! At least you now know what it should sound like