Yes, I found that Liftmaster made this opener and the Sears part number for the assembly must be 139 53991SRT.
A look at the parts breakdown made me think the belt was a possibility but after removing the cover I could see the drive motor, worm gear and drive belt all turning. What I did find was that the plastic screw drive coupling had broken. A look on the Liftmaster web site shows one for about $4.00 so I called the local dealer to see if they had one in stock. Nope.
I've got one on the way for $6.29 with shipping and tax. Amazon has it for $9.
Will post some pictures when it arrives and I disassemble the unit.