I use this method to clean all my flintlocks & percussions, longrifles and halfstocks.
I use a healthy squirt of dishwater liquid soap in a gallon of cold water for the flushing solution.
I put the rifle upside down in a cradle & this is important, as it keeps any spillage or leakage from getting under the barrel or breech area. Then I remove the lock & first thing I do is take a breech scraper & scrape the accumulated fouling off the breech face. It takes about 30 seconds & knocks all that thick crud out. Then invert the rifle muzzle down & bump the breech with your and & the fouling will fall out.
Now put the rifle back in the cradle upside down & connect the flush kit (be it a clamp type or screw in type) take a wet patch, put it on a jag & take it to the breech & then suck the barrel full of the solution & just leave the rod hanging out at the muzzle, barrel full of solution.
Then while the barrel is soaking I & clean the lock asm. under faucet with a toothbrush, blow dry with air & or dry with a paper towel & take a tiny screwdriver & work the towel into the cracks & etc., then spray the lock down entirely including the flint, with Ballistol & pat dry with a paper towel & set asside.
Back to the rifle in the cradle, I take a cleaning jag & a tight patch, & start swabbing back & forth in full strokes to flush the barrel real good for about 20 strokes. Change patches & do it again, change patches and do it again til I am sure it is clean.
Then I take the jag off & put on a breech scraper & check for any fouling. Scrape if necessary & if there is any fouling I put on a Breech Brush & brush the breech.
The back to the jag & wet patch & flush again. Then I swab with a dry patch a time or two. I wad up 2 patchs & put them in the bore & shove them to the breech with the jag & hold it there tight with the ramrod & then take a worm & pull it & check it for moisture & fouling. Then I do 2 more. And 2 more if necessary to be SURE the bore is dry.
When dry, I then squirt a lil Ballistol in the barrel from a pump spray bottle & wet a patch real wet with Ballistol & again swab & force some out the vent. When I am satisfied it is lubed real good, I install the lock & close the frizzen on a dry patch so any excess Ballistol will run out the vent & be absorbed in the patch at the frizzen. You can do all the same with BreakFree which I used before Ballistol & it works good also.
Some tell me I go to too much detail, but I know it works. I know I don't have any rust in the bores of my rifles & have done this for years, so it must work. Once ya get used to doing this, it takes about 20 min to completely chean the rifle good, bout the same as doing a modern rifle ....
Lots of dif. ways of doing it I am sure, this is just how I have always done it.