@alius,
"Kitty" refers to
felis catus, a small mammal that resides in the homes of some humans as a pet. A "purr" is a rasping sound that these animals make as a sound of contentment.
The verb "to stir" is the act of moving a utensil through organic matter. This is generally done in order to prepare it for consumption. This domesticated animal is obviously making something to eat-- perhaps a stew of some sort, and is apparently happy to be doing so.