Go with a private neurological psychologist because that keeps it in the family. Please get her a therapist. It sounds more like autism spectrum disorders. Before you go the route of mental illnesses make sure she doesn't have any learning or developmental disabilities. When she does anything that you feel is abnormal write down the situation and her reaction. When you get a second before bed write down your day with her. As for running into the road or in parking lots a child leash helps. I know I get/got a lot of slack for it but it keep him safe in the road. My son now wears the long character hats or hoodies so that if he gets to far I can tug it if he gets to far. It's far less embarrassing for him.