I am astonished to see in Q's posting above that nonreligious version goes back to 1902. It was on the radio a lot in, oh, 1950 or so, and I thought it was a recent piece of ickiness. It also corrupted the rhythm, with the result that nobody sings even the original song any more the way I learned it when I was little: It used to be (in solfa; scale is DRMFSLTdrmfslt)
drm.S...L.d.d.....m.m..rmrd.......
rather than
drm.S.L.d.d.d.m...##m.m..rm.r.d...
where the #'s are rests, and I have called the ri's r like the re's.

I was amused, in 1960 or so, to hear Jews sing it in Hebrew, with some of the words straight out of the book of Isaiah. Lo yilmedu od milhamah.