Woolly Goat
The Woolly Goat is a denizen of the Trollbone Mountains, and seems to be similar to the classic mountain goat or the Ramtop Sheep, the coats of which can be made into kind of fabric chainmail. At certain parts of the year, the wool of said goat grows so long that it is impossible to tell any features of the creature- it merely looks like a walking moustache. The only way of seeing which end to feed them is to wait until one has a poo, and then waft a bundle of cabbage leaves around the other end. They have long, leathery tongues, presumably to get food from outside the mass of hairy thatch.
One is kept in the Menagerie, and we encounter it, along with Geoffrey, in The World of Poo.