Nah, she specifically names her info source as "Oracle's files," and the way she talks about it - "what happened to the original Batgirl, it was horrible," or something emphatic and invested to that effect - definitely indicates she's aware of specifics beyond a mere "retired due to injury." In fact, the way she says it makes it seem even more complete than "paralyzed by the Joker during a home invasion" or whatever, which is the most you'd expect even Bruce's files to say; she reacts viscerally, like she somehow learned the actual details of the kidnapping etc.
Which I can't see Bruce giving her access to, let alone Babs.