Do suicide hotlines call the police?

They will only call the police if they think you are in imminent danger of harming yourself -- and they will ask you that question. It sounds like the story about the girl not being able to call hotlines anymore was one of two situations -- either she has called and threatened suicide so many times, they are on alert to get to her quickly before she hurts herself, or she has called so many times just to get attention (nuisance calls) which ties up lines and counselors preventing someone with a real problem from getting through and getting the help they need (like fake 911 calls). Don't worry about them calling the police unless they have established that it is an absolute emergency. They will give you telephone numbers for various agencies to help you with whatever may be your situation and make certain that you feel that you have things under control and are feeling better before they let you go. If you are feeling suicidal, call them and stay on hold until they get to you if necessary -- it's better than the alternative. Take care of yourself!