Your ticket probably *is* in the system, but due to clerical error it was entered with a different number... like somebody entered it as 1234576 instead of 1234567.
The ticket in the system probably still has the right name and address and/or driver's license number on it, so what you need to find out is not whether this particular ticket is in the system, but whether *any* unpaid ticket whatsoever exists in the system for your name+address or driver's license number or car license plate number. If this ticket was entered with your personal details (albeit with a wrong ticket number) and you don't pay it, the next thing you'll get is a fine or court notice for failing to pay.
When I call the court in NJ they only ask the ticket number and PREFIX … I always give the info and they say ticket is not in the system.
When I got the ticket I had Maryland driving license and on ticket my address is of Maryland and car plate was of Maryland and after I moved to NJ I got NJ DL and surrendered Maryland Card plates to Maryland MVS and got the receipt that they got my car plates and at present I have NJ DL, NJ car plate and NJ home address