In the episode of "Tyger, Tyger," in the Batman Animated series by WB, Selina told Tygrus that she couldn't remain a cat person with him and that she wanted to be turned back into a human because that what she is. I think she just really likes cats, but unless there's a comic or something else that states it, I wouldn't know otherwise if she's a fur. But in her case does it even matter in her extent, since she already has her specialized cat/thief outfit and other cat accessories. She might not be a fur but she sure acts as purr...fectly cat like as humanly possible. I felt bad for Tygrus though, and he was such a good handsome kitty too. :'(
