The articles were published in Woman's Day, Australian Women's Weekly, NW and OK magazine in 2015, reported The Telegraph.
The 37-year-old, who appeared in the "Pitch Perfect" series and "Bridesmaids," said the "nasty" articles resulted in her losing roles in films such as "Kung Fu Panda 3" and "Trolls".
Explaining her name, she told the court she was born Melanie Elizabeth Bownds but her mother had wanted to name her after a little girl called Rebel who, according sang at her parents' wedding. The actress later changed her name and took her mother's surname.
The hearing featured clips from Wilson's films, an interview with David Letterman and a full episode of an Australian biography series, as well as home movie footage.
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Dismissing evidence suggesting she was not related to Disney, she stuck by her grandmother's claim that she was related to Lillian Bounds, Disney's wife.
In its defence, Bauer Media claimed that the articles were trivial, lighthearted, substantially true and had not affected the actress' career.