Contrary to the general opinion here, I think TGBW goes fine to "The Old 100th" tune. But I think the text must be slightly different.

Perhaps the text has been altered a little so the syllables will fall evenly across whatever tune is being used, and without melisma.

As I recall, Ed Cray sets the words to "The Old 100th" in his book "The Erotic Muse" and it also works perfectly well there.