Uh, aren't ALL mammals fur-bearing?!? That's the HAS HAIR part of being a mammal! Nice one, Virginia. :-|
To wit:
mamĀ·mal (n.)
Any of various warm-blooded vertebrate animals of the class Mammalia, including humans, characterized by a covering of hair on the skin and, in the female, milk-producing mammary glands for nourishing the young.
http://www.thefreedictionary.com/mammal