I have actually done more research into her name, and now officially know the definition :P Inu of course means Dog. And Misha is Russian for "who is like god" sooooooo Inumisha = Dog who is like god.
I'm getting closer to being able to write my story for her I cant wait :D
On the other hand... now I have to try to figure out which half is which race. Should I make it that her wolf demon lineage is wolf demon, or vampire? Because as much as I love the Japanese, I don't really think they make the best vampires. x. x the next dilemma in my story.