The only name that Jane gave us was Bertram (during the ride with Lisbon). He also had seen the video before he showed it to her, giving him time to match the seven pictures with the suspects that Red John gave. And remember that he thinks that Lisbon would be unable to keep a secret, especially his "real" list.
Since he knew that someone had broken into his loft (a la, the toothpick), he must have also had a pretty good idea that that would happen. That gave him the opportunity to display his suspects and theories in a manner that would cause Kirkland to come up with the suspect list for Red John.
I'm leaning toward Mashburn and maybe CBI Ron as an outside possibility.
