Willow was a shared pet between Autumn and her then-boyfriend and her band's bassist, Jim Vanaria. Vanaria retained ownership of Willow after he and Autumn split ways in 2005. As of 2010, Willow was still alive and well with her owner, being featured in a publication about dog-friendly locations in Chicago, IL. (source )
Willow is also a fairy. She's a fairy-dog.