Donkey and Dragon's little daughter is a furry, flying, fire-breathing beast of burden who's looking for a little adventure and a lot of fun!
No name given for her.
Some confusion exists as to the missing dronkey from Shrek 2. When the dronkeys were first introduced in the post-credits scene from Shrek 2, there were six total - including a unique individual which was red in color like her mother. She is nowhere to be seen in Shrek the Third. This was an unfortunate continuity error on the part of the filmmakers. It may have partly been due to the third film having new directors helm the production; the color and count of such minor characters may have been lost in the shuffle. In a speculative and strictly canon sense, the dronkey may possibly have died - or simply been relocated someplace else - in the time between Shrek 2 and Shrek the Third. However, it is still seen in some images and merchandise related to the third film.
