Hello,thinking it over, I have to add some more remarks:
Not every double negation is a litotes: "Not unusual" must not necessaryly mean "very usual". There is an usual way and there are unusual ways to do a thing (the third way is the Army way, ha ha). "Not unusual" can also denote a way which deviates from the usual, but is still exercised by a minority.
Best example I can find: In former times the men of RĂ¼gen (German island) used to wear kilts. Even now it's not unusual to find old men clinging to this custom.
But the original question was about litotes in song. I think that you'll find no litotes in folk songs. Litotes is a highly artistic figure of educated speech used by orators (e.g. Demosthenes, Cicero, few modern politicians), but not by the common man in everyday speech. So I am convinced that my former statement about the double negation is valid: double negation in folksongs will be a strengthening of the simple negation.
Wilfried