The original Tigress was a Golden Age villainess who battled Zatara. The second Tigress was a member of the Young All-Stars, who later became a villainess named the Huntress. The third Tigress is the daughter of the second Tigress, and is a member of the Injustice Society.
The first Golden Age Tigress was a thief/spy and foe of Zatara in the late 1930s. She debuted in Action Comics #1 (June 1938), and was created by Fred Guardineer.
She wore tiger-striped sweaters and ran gangs of thieves and murderers. Apparently, she had no powers.
The second Tigress is Paula Brooks. She was a member of the Young All-Stars and later became the villainous Huntress. She later married the Sportsmaster, and had a daughter, Artemis Crock, who carries on as the third Tigress.
Artemis Crock is the daughter of the Golden Age villains Paula Brooks and Crusher Crock. She had taken up a career in crime, modeled after that of her parents, but only after some years did she take on the mantle of Tigress.