I had a similar experience but fortunately it was a photo ticket, albeit a somewhat grainy, B&W photo. It was clearly not my vehicle or my plate.The city got increasingly threatening towards us if we didn't pay the fines ASAP! Finally we convinced them to send us actual Xerox copies of the tickets and it was at that point we discovered they were issued to a car with the same license number - but with Maryland plates. We sent the city a very snarky and condescending letter and never heard from them again.
I sent a letter and also never heard from them again.
I understand they're busy but not too busy to send out tickets, so I truly believe there should be law/regulation that they MUST respond in these situations and say they're dismissing it or at least reviewing it.
As a citizen/taxpayer we're entitled to that. Otherwise you never know until years later you find out they've just been tacking on fines or your license has been revoked.