Nothing special at this point, you need to clean it completely. Fully dismantel the gun and it's parts.
* Pull the wedge pin and lift the barrel out, (set it aside for now)
* Remove the screw opposite the lock and pull the lock. Some rocking might be required,,
Nothing will spring out or go flying away on ya.
* (Double trigger) Remove the trigger guard then remove the two screws and pull the trigger out
(Single trigger) The trigger and guard are one piece, pull it out.
Normal dirty gun procedures are now ready to be done. Clean all the cobwebs out of the stock and give it a good rub down.
Take the rock out of the hammer and then spray the lock down with a good solvent or break cleaner, use a tooth brush or soft brush to get the gunk off, dry it then lube the internal parts. (common gun oil)
You can wipe down the entire lock with an oil rag now, but before firing, the Frizzen, (the part the rock hits) must be clean and dry of ALL oils or solvent.
Ditto the trigger, spray it down and clean and lube it. Re-assemble the lock and trigger, carefull, your working with wood screws in places and don't need alot of torque, The Ml's and componants relie on a proper fit in the mortice to hold things in place. Don't over tighten the lock with that single screw, you can pull it too tight and press the lock parts into and bind on the wood.
Do you have a jag for cleaning inside the bore? How about a longer cleaning rod that will fit any attachments you have?
For now just spray the inside of the bore with a good lube or solvent. If your going to use a brush inside that bore, be sure to turn it clockwise before and and or as you pull it, they do like to stick in there, and don't trust that wood rod that comes with the gun to do the job, the end might break off and you'll be sad.
Most of these things can be salvaged, just do it smart and don't be in too big a hurry.