Since the extension requests are coming in piecemeal, I wonder if the company is aware of something (on the credit report?) that they are trying to find in the records. The best way to figure out what they are asking for is to ask them directly.

 Are judgments in Tennessee good for 20 years? If so, they should be ordering 20 year searches on every foreclosure search. Sounds like you are CYAing fairly well by clearly marking your search report with the exact search that was completed.