There seems¹ to have been a historical tradition in Rohan for the women of that people to fight beside the men, though by the later years of the Third Age this tradition - if it existed at all - had been relegated to history. These female warriors were known as shieldmaidens, and Éowyn of Rohan claimed to follow this heritage. It's not clear how 'official' this title was; though Éowyn used it of herself on several occasions, there is no record of any other such shieldmaidens existing at the time of the War of the Ring. After her victory over the Lord of the Nazgûl in the Battle of the Pelennor, Éowyn herself abandoned the title to become a healer, thus apparently bringing the tradition of the shieldmaidens of Rohan to an end.