Maybe I'm just paranoid

For me it would be circumstantial whether or not I gave out that info. I would assume if this was her standard screening practice I would have read about it in a review and be prepared to give out the info. Otherwise if I've been screened and she's been screened I don't see any reason she would need to know what car I'm driving. The biggest problem I see with this is if I was new or she was new and now "somebody" knows my car will be unoccupied for an hour. I don't really care that much about the plates and being identified but having my car broken into might ruin my day.