A resident noticed a shirt in her closet that did not belong to her but it had her name on it so she took it out of her closet and placed the hanger with the shirt on the handle of the door. I came in the room to put some supplies in the closet. That's when she asked me if I could do something with the shirt. Since it was 4:38pm, & almost dinner time, I said, "yes I've never seen it before but not right now. I'll take care of it later.",in a calm, matter-of-fact tone of voice. That's when she exploded on me and said that I was yelling at her. I knew I wasn't. She also lied & told the supervisor that I said,"I'm busy right now! You're bothering me!", which I absolutely did not say. At this time,the meal cart was out in the hallway and trays were ready to be passed. Well she was very upset with me and went to the supervisor and got me fired because she claimed I yelled at her, which I didn't.