Thanks for all the name suggestions - I love them all. :D I'll let a few days pass and see if one really jumps out at me.
In the meantime, I'm putting together a small quilt for her. Nothing fancy, just made up of some cotton shirts I had that I didn't want. Just a little blanket for her to curl up on, and maybe I'll embroider her name (when I figure it out!) on it. :D