Your LE agency who took the theft report can request a search based on your info, the kind of gun, the name and address of the dealer who you purchsed it from and the month and year of the purchase. ATF can run such a search. If the business went TU, the records were sent to ATF. They still have paper copies. If the dealer is still in business, ATF will check with them. Even though they are required to keep the records for 20 years, they are not required to destroy the records after 20 years. Most have them squirelled away.
In life, strive to take the high road....It offers a better field of fire.
"Robo is right" Fuzzball