Asking For Advice

Hi everyone. I am asking for advice regarding a situation I have recently been a part of. There is an RN who works at my job, I'm an LPN. Recently, she gives terrible reports, which leads me to wonder if she knows at all what she is talking about. It really stinks because then I have to go through faxes & she doesn't document so I can't even go off of that. But the problem that I have is that she corrects me in front of patients and their families when I'm not even incorrect. She gives false information and it has gotten very frustrating. So, I spoke with her yesterday and I asked very calmly to not do that again and to pull me to the side if she has anything to say. She said okay. However, did it again & she was completely incorrect. I don't know what I can do further, but it is really starting to get out of hand. I have never trashed her, and when family members ask me what's wrong with her I ask them what they mean. She is not at all a good nurse. Family members have complained about her skill or lack thereof and other staff complain because she barely does the bare minimum. I am reluctant at this time to go to management because they never do anything about it. So I would like to know if anyone else has been in a similar situation & what they did to resolve it. Thank you in advance.