The wiki serves as an essential guide for identifying the various entities that haunt the factory:

The exact origin of Taffy Tails is unclear, but they are believed to have been first produced in the early 20th century. The candy quickly gained popularity and has since become a beloved treat among children and adults alike.

Based on the name it is highly likely you are looking for information regarding Taffy , the main character from the animated series "Taffy" (sometimes referred to as Taffy: Looped or simply Taffy the Cat ), who has a very distinct tail.