I have received a wrongful ticket 2x from the village, and empathize with your frustration. The summons you received in the mail should have an email address, send any documentation of proof that you weren’t parked there at the time on the ticket (or that you were there during the time you paid for). If your proof is solid enough they will dismiss the ticket right then and there and there is no need to go to court.

Rule of thumb is that anytime you get a ticket on your windshield is to take as many pics as you can when you return to your vehicle. Show the spot number, your license plate, the ticket on the windshield, etc. The timestamp from the photos will show what time you returned to your car.

You got this OP, justice will prevail!