Get yourself a cheap plastic pitcher and fill it up with some tap water and a pinch of dish soap.
Remove the two lock bolts and gently wiggle the lock out.
Scrub the grime off the inside of the lock, the pan, and the frizzen with water from your pitcher and a toothbrush.
Set the lock aside.
Plug the touch hole with something. A toothpick may work (a bit too small for my Bess), or a feather quill or similar.
Throw a funnel (not necessary but a huge help) in the muzzle and fill the barrel up with water and let it sit for a couple minutes.
Pour water out, then repeat until water comes out clean, then remove your toothpick, quill, whatever.
Run a few wet (water) patches down the bore until they look pretty clean.
Run a few dry patches down until they come out with no sign of water on them.
Run a final oiled/lubed patch down.
Wipe away any fowling on the outside of the gun in the breech/lock area with an old oily rag.
Take your now dry lock and run a clean toothbrush with just a drop of oil on the bristles around inside parts of the lock, then wipe off the excess as best you can.
Wiggle the lock back into place and replace the lock bolts.
Take your oily rag and wipe the gun down.
If you want to use the ramrod you need to get an adapter like this:
Adaptors, for other thread sizes - Track of the Wolf (7th one down in the list, goes from M5-.8 female to 10-32 female). With it you can use the standard 10-32 patch jags. I use a .69 caliber jag in my Pedersoli Bess, as the .75 caliber one is too tight in its .745" bore with anything but the thinnest patches. Your Bess may work fine with a .75 jag, as the bores vary. Modern shotgun cleaning patches work fine, but you can also cut patches to about the same size from t-shirts, pillow cases, etc. For oil, I have specifically used mineral oil, Ballistol, and olive oil. They all seem to work fine.
Oh, and huge conga rats on the new Bess. I absolutely LOVE mine.
