Bri, they're all translations from the German, and there are German variations as well. I don't think there's right words, just the ones you know, or the ones I know. Someone in search of a doctoral thesis topic could try to put the German variations, and the English ones in chronological order, to see how it evolved, and we would still just have a time consuming proof that this is indeed a folksong.
Blessings,
Barbara