This was inspired by the most popular character from "Doctor Dolittle" (by Hugh Lofting).
It is just a taog goat, but...
... "The pushmi-pullyu (pronounced "push-me-pull-you") is a "gazelle-unicorn cross" which has two heads (one of each) at opposite ends of its body. In The Story of Doctor Dolittle, the grateful monkeys in Africa persuade it to accompany Dr. Dolittle to England to earn money for him (in Doctor Dolittles Circus and Doctor Dolittles Caravan.) The pushmi-pullyu usually only uses one of its heads to talk, reserving the other for eating (thus allowing it to eat while speaking without being rude) and claims that its great-grandfather was the last unicorn." (Wikipedia)