Minyma Kutjara (Two women) is one of the most important women's creation stories of the Western and Southern deserts and a special story for Irrunytju. It tells the story of the difficult journey of two sisters who travelled throughout these vast lands. The story is one that has been told many times through dance and painting.

The places where the sisters travelled and rested can be traced through the desert, their actions often created landmarks, rock-holes and mountain ranges. Near Irrunytju the sisters sat on two hills and made hair belts in preparation for important women's business. They threw their wana (digging stick) creating the rockhole here.