her father and granfather are diagnosed sociopaths......
could she possibly be acting out?
the only suggestion i have is to try to have some compassion for her. she is only a child, and is herself a victim of generations of mental illness.
i realize you must do what you must do out of fear or out of self protection....
just try not to forget that behind the thick wall of "a-moral" behavior, is a little girl who is in need.