Batwoman

Katherine Kane
Kate (Nickname)
Batwoman

Human

Gotham City, USA, Earth

Gabi Kane (Mother)
Jacob Kane (Father)
Catherine Hamilton-Kane (Stepmother)

Beth Kane (Twin Sister)

Renee Montoya (Partner)

Bruce Wayne (Cousin)

Expelled from the Army under Don't-Ask-Don't-Tell
Saved from a near-fatal mugging by Batman
Inspired by that, she became a vigilante

Bat-Family

Ruby Rose (Arrowverse)