This is a condiment set with the front sugar / grease jar / pot in the front representing a sink with underlying cabinets and drawers. The sink even has holes in the drain. Meanwhile, the shakers are hiding in the back as the faucets. The faucets just reach over the lip of the sink and are marked "S" and "P".
This set is made from a heavy ceramic. That fact and the overall look remind me of the Black Americana mammy's that can be found with similar grease jars depicting stoves.
This condiment set has been found in numerous colors (one missing its sink). Maker unknown, probably USA, circa 1940s.