“The Stiff” is Melisende's nickname for Bouton Funerary Service's brown Ford Transit van. The windowless cargo area is fitted with a transport deck to secure the body transport gurney (AKA cot) and a rack of bins on the left side for supplies.
Given the Stiff's purpose, Melisende has to put up with a lot of jokes about it. The most common is:
“You know what Ford stands for, don’t you?”
“Found On Road Dead.”