Depends on what you're looking for. There's color and there's finish. If you want some pitting this can be accomplished in several ways but I advise against a uniform pitting.
Bleach can be used and some folks will actually boil a plugged barrel in bleach (outdoors in a trough) but that obviously pits the barrel uniformly and there's no such thing on originals. So- you can apply bleach for varying periods of time (think damp cloth, tow, lint to hold it on there) and then wash thoroughly and look for pitting. Then cold-blue it and the pits will show dark when you polish it out a bit (rub off the bluing).
Naval jelly will also pit the metal if you leave it on a while, as will nitric acid. But be careful with the nitric as it can eat the metal up.
"Fly ash" or the ash from a forge is full of acids and if you make a paste and leave it on the barrel and lock it will also pit the metal.
Then of course there is the burying in manure trick.
Then you want to achieve some color and this can be done with browning and bluing treatments and carding it off in such a way as to achieve the clor and degree of variation you desire.
If you want to keep it very simple, I'd finish the gun "bright" then brown or cold-blue the barrel and lock and rub almost all of it off except in the places that are always hard to clean and always get a little rusty. Around the pan, the frizzen spring area which is hard to clean and dry, anything forward of the cock, the rear sight area, and the barrel beside the lock are where you want to focus to give a slightly worn look.
Here's an example of a light patina on the lock and trigger guard. Plus I forged a "frontier replacement" frizzen spring and roughly riveted the pan to the lockplate instead of screwing it, to strengthen the impression of a well-used gun.