To add to what Mr. Scram said, the unintentional radiator test is not a matter of public record, and AFAIK the FCC is not directly involved. I.e. to verify that you did actually pass someone would need to ask you for the certificate or verify with the testing house that your product actually DID pass, as the FCC does not "give out" certifications for unintentional radiators, rather an accredited testing house will give you a certificate and maintain the record of successful completion.
The intentional radiator certificate, on the other hand, IS one that needs to actually be greenlit by the FCC, and so there should be a public record you can look up. Any certified module will have an FCC ID that you should be able to look up. Of course there is nothing stopping a company from stealing an alternate FCC ID, but...