This discussion came up at work after a female coworker decided to run a marathon dressed as Batman. Somebody said that she'd be running as Batwoman, to which she replied that, no, she was running as Batman.
This got me wondering - has there ever been a female Batman, in any continuity?
To be more precise (and to borrow some wording from the comments), has a woman put on the Batsuit made by Bruce Wayne and claimed the identity of BATMAN, to whatever purpose? This question is open to alternate continuities, universes, timelines, body/gender-swaps etc.