I went through something similar. When my 150 was totaled I mailed all the logbooks and paperwork to the insurance company. I received some papers back but, frankly, all I cared about was the check. Once that was cashed I filed the papers and didn't look back.
Until the airport asked me to pay taxes on the plane. I checked the FAA records and I was still listed as the owner. Turns out the insurance company never 'bought' the airplane, they sent the old registration (Form 8130?) back to me along with the name of the guy who bought the plane for salvage. It was then up to me to fill out the form with the name of the new owner and mail it to the FAA.
The short story is this - as I understand it, the person who's listed as the owner will need to notify the FAA that the plane has been sold, and file the appropriate paper(s). You may want to contact AOPA to see what to do if the owner-of-record is deceased or doesn't have the paperwork.
One more thing - this is not a speedy process. Once I filed the correct form it still took 45 days for the FAA to update their records.