Zevon's "My Shit's Fucked Up" was recorded in 1999. He was diagnosed with mesothelioma in 2002. He is pretty good at weird songs, though. Monkey Wash, Donkey Rinse:

Hell is only half full
Room for you and me
Looking for a new fool
Who's it gonna be?
It's the Dance of Shiva
It's the Debutantes ball
And everyone will be there
Who's anyone at all

Monkey wash donkey rinse
Going to a party in the center of the earth
Monkey wash donkey rinse
Honey, don't you want to go?