Correct documentation

OK, I have this situation at work. I work with a nurse who always document in the chart what the next nurse forgot to do. Omissions, eye gtts. The kind of stuff my supervisor should be handling, if she audit the MAR/TAR. I find her documentation very foolish and not legal. I want to know have you ever encountered a nurse that actually get away with this type of behavior. I have addressed this with my immediate supervisor, I have not seen anything be done about it. I have communicated with my supervisor that I want to only communicate on the 24 hour board and verbal reports at shift change with her so that we can have a professional relationship only. I feel so uncomfortable working with this nurse. I am not perfect. I just do my job. Pass my meds. Do my tx. F/U on previous shift work, etc. She is the kind of nurse that acts as though she is the only one that can get the job done! She is so wrong, as to say in everyone's job, there are the strong team players, and the so-so team players. I pull my weight by all means. I always complete my assignments, do not leave my work for the next shift. Call in my labs, Rx orders, notify family/MD in a timely and efficient manner. No matter how well I think I cover my shift. She will seem to find something for me to do the next day that she has looked into if she was off for a day or so and I'm stuck doing her projects. I hate working with this nurse. I have wrote her a letter and told her she is behaving the cliche' nurses eat their own, young,' it all fit her description. I am feed up with her!