Thanks again to all who offered suggestions. I was finally able to get together with my uncle last night and brought the GE remote along.
I started out trying the CODE SCAN feature, but then decided to start at the beginning - tried the basic codes they had listed for SHARP TVs. I had gone through this same process with a no-name brand remote a year ago and my uncle had tried a different mfr remote last month with no luck, so I wasn't very hopeful last night.
On the 8th "SHARP" code I tried we hit the jackpot!
The 22 year old TV is back in business! And it only cost us $10 cause someone bought the GE remote, opened the package and returned it. Cool!