I rarely used names of other people in my therapy, more often referred to them by their role in my life. I never talked too much about the same person, so this came more naturally. When I did refer to someone by name, it was just first name. I most definitely would not give a T anyone else's information, I would not see them if that was a condition. I don't use any social media for personal life (other than anonymous forums like this) but have no problems with a T finding out anything about me professionally if they cared to look. I also never filled out any paperwork about me for a therapist - what do they ask about other people?