I usually don't name my animals, though when I'm bored I name all the animals of a particular species, usually Elephants, Tigers, Walruses or anteaters.
Sometimes I just give them silly names like "Billy Bob" or "Mary Sue", but usually I name them after music stars, my friends, gods of different mythologies (yes, there WAS Odin the Panda, Leminkainen the Fallow Deer and Apollo the Emu), famous politicians ("Mr W. Bush you sure are a pig!") or famous philosophers ("Now Aristotle, you be nice and procreate or I'll trhow you to the Wittgenstein exhibit!").
Ovearll sometimes my mind is plain old twisted.