Board Thread:False Info and Speculative Discussion/@comment-7603754-20150726201453/@comment-13965604-20150726214905

Noshiko, a kitsune, specifically said she called to the spirits of her ancestors offering her body for vengeance. And then the nogitsune came and possessed someone.

Kira has been shown having a spirit hovering over her.

As for the name thing. Nogitsune from my understanding basically means Bad Kitsune. And other Kitsune do, traditionally, have other names, or at least types, it's just not came up in the show so it's hard to say what exactly Jeff's version of the mythos is.