Steal this idea - The Last Coffin Maker

Saw a short article about Malawi coffin makers suffering as the health programs improve. It mind-melded to a "Star Trek" episode about a planet where few people ever died and they were running out of space. What about the life of the despised last coffin maker on a planet where no one ever dies or where everyone has died or as he has to make the coffins for his family (gee, that's depressing). What kind of story leaps into your mind?