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Originally she was the planned playable female protagonist of gen.1 games but was scrapped, the rival character originally called Green was named Blue in localizations
Pokemon Adventures introduced her with her original design, she became playable in Firered and Leafgreen where she has a different appearance, clothes and name found in the game data and confirmed in Masters, when reaching that arc in Adventures she changed her clothes to fit that
In the Let's Go games she appeared as one of the three important trainers alongside Red and Blue, her name was localized as Green because of the previous rival change name
Each of her versions are depicted with a different personality but all exist in alternative timelines