Quoted from pinhead52:
I just wish there was a way to list games that the original serial number can not be determined.
Not on the IPSND. That site is for historical research and to fabricate primary data would muddy it. You can, however, add your game to owners lists websites, of which there are a few out there. One such site is www.pinballowners.com. The games are listed by the owner's usernames, not serial number.