I am SO GLAD and relieved so many guys have switched to cold or cool water for cleaning - makes my heart glad.
Flushing/pumping water into and out of the bore is the right way, in my opinion. The gizmo Track sells will work, but some guys have difficulty with it.
Cold water is also right & is not my idea, but that of one of the very best black powder rifle and shotgun makers the world has ever seen, the British Company called Holland and Holland form the 1800's.
Holland and Holland advised my friend (I read the letter) to use cold tap water to clean his multi ten's of thousands of dollars valued double rifles and shotguns that used black powder - muzzlelaoding and cartridge - and also, after flushing the black powder fouling from the bores, to then dry them with cotton patches until dry. Those patches were not for cleaning, but merely for drying - flushing water into and out of the bore using a tight fitting patch, does the cleaning.
Dry patches introduced into the bore do not clean - the bore/bores are now clean from the flushing/pumping of water into and out and merely need drying. If the first patch picks up fouling - the bore/bores are not clean and must be cleaned first. That is what the water is for.
Alternate method:
Plug the vent or nipple - pour cold or cool water into the bore right tot he muzzle's edge, muzzle upright - let it sit for 10 minutes - then put a patch on the jag and just start it into the bore, pull the 'pick' from the vent - and push down hard, forcing the water to blast out the vent hole, and with it much of the fouling. Remove the now- filthy-dirty patched jag, plug the vent and do it again. After the second time, use more patches - 2 or 3 if still dirty, repeat the water. It's a @!*% sight quicker to remove the barrel and shove the tang-end into a bucket of water.
Forgot to mention - after drying the bore - CLEAN patches resulting every time or at least by the 2nd or third - Pour or spray a quantity of WD40 down the bore until it runs out the vent. Then patched jag - blast that out the bore and run it up and down, removing after 3 or 4 strokes. I then use that patch to wipe down the outside of the barrel, and out side of the lock before replacing it. The WD40 or other good water displacing lubricant is also H&H's suggestion after drying inside and out.
Ask Taylor how to make a wooden 'jig' to protect the tang from bending while it is in the bucket. Tenn. rifles with those long, over the comb tangs - you're on your own - maybe my 'alternate' method of cleaning is all you can do.
After cleaning my guns as above - NO RUST - EVER!
Note - there is a company in the States making ML barrels and/or selling ML parts or kits who calls themselves, Holland and Holland or H&H.
That company is NOT the long time respected firm of Holland and Holland I am referring to above.
As to the locks - removed, brushed clean with a tooth brush (my wife's) under a cold water tap, then blown off with compressed air, sprayed with WD40, then shaken and wiped off and replaced.
Just kidding about 'whose' toothbrush.