You are wise not to blindly mess with it. I don't have a clue how to properly clean it up and do it right. My experience has been with more modern firearms.
You can join the Remington Society for (I think) forty dollars. At the very least, you should be able to find some information and a contact or two on their website,
Welcome to the FTF community. When you have an opportunity, head over to the New Member Introductions and introduce yourself to the gang.
If ye love wealth better than liberty, the tranquility of servitude better than the animating contest of freedom, go home from us in peace. We ask not your counsels or arms. Crouch down and lick the hands which feed you. May your chains set lightly upon you, and may posterity forget that ye were our countrymen. ― Samuel Adams