Creepshow III, unlike Creepshow (1982) & Creepshow 2 (1987), has no involvement from either Stephen King or George A. Romero - the series creators.
Tales from the Darkside: The Movie (1990) is often considered the "true" Creepshow 3 because of George A. Romero and Stephen King's contributions to the film.
Creepshow III does NOT take it's stories from a fictional "CREEPSHOW" comic book.
According to one of Professor Dayton's wedding invitations, the neighborhood in which all of Creepshow III's stories take place is called "CREEPYVILLE".
One of the humorous props in segment The Radio is a bottle of Arrogant Bastard Ale in Andy's kitchen. The slogan on the beer case reads, "You're Not Worthy". This is an actual beer that's bottled in California.