Tigress first appeared in Zatara's first comic book feature in Action Comics #1 (June 1938)
To be continued . . .
Tigress and Zatana tangled in several episodes of his feature through 1941.
She even made a return appearance when Scooby-Doo and Zatanna met up in Scooby-Doo! Team-Up #19 (December 2016) <printed version>