If you search the internet, you can find that book called “Germany and Its Gypsies” that claims there is a German folk song with words similar to the ones we know, as mentioned above.
It is fun to find a source of a song that has been part of my personal “folk song” collection and to see others discuss it here. The gypsies may not have been as envied in the original song, but camping and singing with friends made me feel “free and gay.”