The Rights of Man is one of those tunes that is fairly common. I learned it from the slow session at the Shoulder of Mutton in Wantage. According to http://www.thesession.org there are 94 recordings of this tune (many with different names) so you are likely to come across it in all sorts of strange places.
One different adaptation is Bela Fleck’s (which you can preview on this link)
A straightforward and not too fast playing on a piano accordion. Here’s another group with a different style. And a guitar picking out what a gentle tune it can be.