The March Hare don't appear on the show. However, he appeared like an antagonist, linked with Jefferson's past into the comic Out of the Past.
In this version, he was an insane human hunter, residing in Wonderland and living a richly extravagant lifestyle, owning a large house and garden, protected by guards, while also indulging in tea parties. His name provides from the hat that he's wearing, which is made from the ears of all the hares he has hunted. He is feared for his reputation and is rumored to be madder than the Red Queen.