"What state's she from?"
She was born in Alabama, grew up in Colorado, spent much of her adulthood in California, and years in Washington D.C. (of course).
I'm not an authority on this subject, and might have missed something. :-)
She could establish residence in a state for the express purpose of running for the Senate from that state....
Nah, FReepers hated that when Hillary did it, so it's probably not a good idea.