Cousin mother keeps filing false reports

If you live in another city and was charged for something without getting arrested or having to go to court will it show on your permanent record? My cousin mom called the police on her without her knowing as usual and they issued a bench warrant out on her. She went to the police station as usual to have the charges dropped including the warrant. She has to get her record checked and during a conversation with her mom she mentioned to my cousin she called the police on her. My cousin called the police station to check on her record and they seen she was charged with something but it's not there anymore so they couldn't tell her anything because nothing was showing not even the warrant. My cousin mom always called the police on her when she wasn't around and she would file an affadavit on her and without investigation nor contacting letting my cousin know, they will issue a bench warrant for her. No court date was ever set. Will this show on her permanent record?