Yvonne Craig was a total doll and cutie-pie. RIP.
Batgirl and Batwoman are two entirely differently characters.
Batgirl debuted in 1961 and is the alter ego of police comission James Gordon’s daughter, Barbara Gordon. She is a sidekick to Batman and a superhero-in-training.
Batwoman was introduced in 1956 and is the alter ego of Kathy Kane, and a superhero in her own right. She was originally intended to be a love interest for Batman. In 2008, DC comics “reimagined” the character as a Jewish lesbian, and this is the current crappy version that the TV series is based on.