Chief Minister Stone and Miss Australia Margaret Tierney paying a courtesy call Parliament House Darwin. Margaret Tierney won the Miss Australia contest in 1995. From 1926 the program operated under the name of The Miss Australia Quest until 1992 when it changed to The Miss Australia Awards. Miss Australia raised money for The Spastic Centers of Australia through her family and friends. She was judged on merit, as well as raising the monies for children and adults with cerebral palsy.