Katherine "Kit" Tyler, the main character in The Witch of Blackbird Pond by ElizabethGeorge Speare
Kit Snicket, character in Lemony Snicket's (pn of Daniel Handler) "Series of Unfortunate Events".
MargaretMildred "Kit" Kittredge, from the "American Girl" doll collection.
KitBailey, character from CBC series "Heartland"
KitKeller, character in the film 'A League of Their Own' (1992)
KitDunn, character on Backstage
A fox pup is called a kit