She often sleeps on her back, all sprawled out. It's really bizarre (http://i.imgur.com/WAStQQ0.jpg] Pic doesn't quite do it justice, but you get the idea!). Never seen a cat willing to relax so utterly. Even my last cat, who I'm pretty sure trusted me completely, would never let herself be caught like that, whether it was pomposity or general cat paranoia that restrained her.
And, yes. She is indeed! I'm sure she must have a scalp collection stashed away somewhere like some feline familiar of a Predator!