"I'm thinking it may be best to get some oil working on it - RLO for the wood and gun oil for the metal - before I start taking things apart." Sounds like a good approach.

Do wait awhile before you try disassembly. What I see in the photos is a nearly-original model '92 that has survived 120+ years without significant molestation. As such, it may have greater value as-is than with more burred screw heads or other damage from unnecessary disassembly.

The experts here will soon join in to give you better advice and evaluation than I can.