To fully identify some pistols, you have to not only have the manufacturer, model, caliber, and serial number, you have to know where the production plant was located where it was made. For instance, Lugers made during WWII used the same serial number blocks at different production plants, so if you don't know the factory code, you can't really "identify" the pistol. I found out about this when a friend of mine was arrested for possessing a stolen pistol. We were in the military, and he had brought a military Luger that had been in his family for 40+ years back from leave, and registered it on base so he could keep it in base housing. The cops showed up at our workplace a few days later, and took him away in handcuffs to question him about a stolen pistol, as a Luger with the same serial number had popped up in a NCIC check of his registration form info.
Once I found out what was going on, I went and talked to our commander (who was a gun owner himself, and fairly gun-savvy), and asked him to look into it. He found a Luger collector that submitted a letter on the duplicate serial number problem with Lugers, and luckily, my buddy's family had an old certified form (insurance?) that demonstrated the pistol had been in their family since well before the pistol listed in NCIC had been stolen. A combination of these two factors got him released and his gun returned, but I've always remembered the circumstances, in case something similar ever happened again to someone I knew.