They're trying to say my daughter murdered her boyfriend

This is a little long but my daughter is currently going through it. She's 18 and her boyfriend killed himself a few weeks ago. The family has been spreading rumors that SHE killed him and now she's being called a murderer at school and she doesn't even want to go to graduation. Her boyfriend was a VERY troubled kid who had a LOT of mental health issues. They had dated for a year and a half. CPS had investigated that family many many times. There were issues with his dad drugging him so he could have parties and different women in the house. He was sexually assaulted for years by his maternal grandfather and his mom knew and didn't do anything which is how CPS got involved the first time. He was schizophrenic. Had PTSD and depression. I really didn't want my daughter dating him because it's clear he had a LOT of healing to do. But she did and it traumatized her. He would have episodes that even I witnessed. He would bang his head on the wall. Constantly talked about killing himself. My daughter and him moved into their own apartment when she turned 18 and I stopped hearing from her. She eventually called me because he became pretty controlling. He didn't want her going out at night. Constantly accused her of cheating. So many things had gone on in that relationship and I helped her break up with him. He had been saying he wanted to kill himself and I picked her up. He ended up killing himself the next day. His family has now gone on to say my daughter killed him. She left to go be with friends because she missed them the next day and that's when they're trying to say she killed him. Police already questioned my daughter and they could already tell it was a suicide. Not to mention his mom said he had told her he wanted to kill himself a couple days prior AND they found text messages of him asking his dad for a gun but not saying what it was for. That's the gun he killed himself with. Now his mom is trying to retract the statement that he told her he was gonna kill himself and spread this narrative that my daughter killed him. My daughter was at his funeral and heartbroken. I have never said a bad thing publicly about her son even though he did put my daughter through hell. I know his family is to blame for his mental health issues. They fucked him up badly but I never publicly bashed them or him and I will never publicly bash him. Especially since my daughter doesn't want me to because she still loves him but they are trying to paint her as a murderer to the point she's bullied at school and accused of killing him when all evidence points to he killed himself. I'm so scared she's gonna pushed over and I just want to publicly say something but my daughter doesn't want me putting his trauma on blast and I don't want to traumatize her further.