I assumed from SPECTRE's post that he was talking of the area around the firing pin hole, i.e. the breechface. This is a place alot of people just forget to clean because they don't think it gets dirty, but it does.
You're method of cleaning the firing pin sounds as good as any I've heard. There's a spring in there, and obviously the pin moves, so you want to have some lube in there as well. Drop some solvent in there, then clean some other part, then just come back to it and put some oil in there. I wouldn't get too carried away with it. If you get a bunch of oil in there it will spray back into your face when you fire the first few rounds.
Ross