The Duchess' Cook is a fictional character in Alice in Wonderland she lives in the Duchess' Palace which is just outside the Caterpillar's forest. She is obsessed with pepper and throws it all over the place causing the Baby to sneeze constantly. She also smashes plates everywhere.
In the Tim Burton film, the Cook is Thackery Earwicket (March Hare) and the Duchess is the White Queen. The March Hare shares many of her characteristics such as he, like her, enjoys smashing plates and throwing pepper.