Hey there, (:
I think it might be a good idea to. Not for your benofite but hers to! If you think she could seriously hurt her self then you really should. But a warning to you is she MIGHT get mad at you if her parents might tell her parents. Idk if her parents know. Yes it might help your parents that self harm is kinda common thing.
How? You can sit them when they are in a good mood and just flat out say "Emma self harms" or you can write them a note if saying it is too scarey. (Which I understand) or just have a convo about self harm and say oh by the way Emma self harms. Idk
Hope I helped a little (: feel free to
pm/
VM me anytime