Parking tickets usually go off the license plate, last I checked.
In fact, so do normal tickets, last I checked. My first job was punching in traffic ticket info for the CHP, and I don't recall ever seeing a VIN; just the LP and DL.
This is in the US, though. Other places might have different information tracked on citations.
> You obviously cannot have DL on a parking ticket.
Well yeah, obviously. I was talking about tickets in a broader sense, going by forms CHP 215 ("Notice to Appear", i.e. normal traffic tickets) and CHP 281 ("Notice to Correct Violation", i.e. "fix-it" tickets).