The Persian Kitty, perfumed and fair
Went out in the yard to get some air
When a tom cat lean and lithe and strong
Dirty and ragged came along. Ect.

Also Mr. Mistoffiles and others from Andrew Lloyd Webbers's musical Cats have amused me for many hours. Its not folk music, but T.S. Eliot's poetry captured the true nature of cats (actually, I'm not sure cats even know what their true nature might be) and was complimented nicely by Webber's music.