Whoops, I somehow didn't see the posts earlier.
Yup, it was made in Quartet, I found it on this disk:

I do have an old pc with a Floppy Drive, but it doesn't recognise it for some reason. I've tried fixing it for a while, but I gave up on it as, well, it's old, so it might not work at all anymore, and I can get a USB one in the future.
Anyway: it's not needed! Not for getting the music, in each case.
I thought of something I should perhaps have thought of earlier: Line-in recording!
I checked where the cable from the computer to the monitor was, took that one out and put a new cable in, connecting the end to a converter so it would fit in my MP3 player's line-in jack. I was able to record it in pretty much perfect quality, being directly output from the machine to my MP330!
The sound was only in the left ear, but that was easy to fix using Audacity, which I also used to get the wave file converted to a frequency better suited for Lightworks, the video editing software I use.
I then figured I still needed a picture, as I didn't really want to upload a YouTube video without video.
So I booted DEGAS Elite, fiddled around with it a bit to figure out how it worked (come on, I'm not going to read a huge manual...

), and made something quick.
Nothing too special, but exactly how I wanted it. You might not like the picture too much, but it fits my style.
Anyway: of course I wouldn't have done all of this had I not made a new tune.
For this theme, I got to use some more samples, as like the disk says, it includes 35 High Quality Sound Samples, of which some were quite bad or didn't work at all, but some others were very usable.
During the composing process, I wasn't happy with the product multiple times, but eventually it turned out even better than I had hoped it to!

Please have a listen!
https://youtu.be/l2VmnwUWncE