I had the Pete Seeger album with this song on it. In fact it is almost certainly still up in the loft. I shall have to get it down, though I have nothing to play it on. I know someone who might put it on CD for me, so I will have to see.
As Andrew Sullivan says, the singer on the You Tube clip uses a slightly different tune. As he says he learnt it from the singing of Pete Seeger, it could be he has not quite learnt the tune as Pete Seeger sang it.