Go to urbanthreads.com they have several Alice in Wonderland type designs. You will find Alice, the
Queen of Hearts, Mad Hatter and the Rabbit. Not free but very cute.
You can try these.
If you go to the free section of The Quiltery there is a White Rabbit pillow. Registration is required. In the download are instructions for an applique but there is no embroidery design. There are pattern pieces to make your own applique. It is the Real White Rabbit.