I think the manager is telling you that her boss would pass it back to her to solve because she doesn't want you to go to him. I find it hard to believe that if you went to her boss to complain about HER that he would send it back to her. I mean, go to him tell him the entire story about the cook and that you've tried to work it out with the manager and nothing has been solved.
As I said in your other thread..........document EVERYTHING!!

Good luck. I hope either things get better or you get out of there.