Harry,
Remind me not to antagonize you and become subject to your barbs!
Swampghost,
Get a copy of Hatcher's Notebook. Somewhere around pages 180 to 200 are descriptions and photos of guns blown apart by trying to clear obstructions the way you describe.
3gunfreak,
The attempt to reverse the direction of the brush made matters worse, as the tips of the bristles then jammed into the steel tool marks. Merrill Martin reported years ago that his borescope revealed barrel surface marks caused by that. Never reverse a brush in the bore.
I would not be burning anything in the bore. The heat of flame exceeds the 1100 degree stress relieving temperature normally applied to barrels.
I would drill a 3/16" hole in the end of a 3 foot piece of 1/4 inch brass rod from Lowe's or Home Depot. Then I would break the head off a #8 brass wood screw and solder that broken end into the hole in the rod. The idea is to make something resembling a muzzle-loader's lead ball remover. Run it down to the bore and carefully screw it into the cloth and start pulling that jammed material to straighten it out. Don't try to take too big a bite. The go in from the other end and do the same thing. The idea is to relieve the cloth's plugging effect and have only the stuck bronze bristles holding thing back.
The next step would be to follow the advise to plug the muzzle with a stopper and eat out the bronze brush with a bore cleaner. The very active chemistry in
KG-12 bore cleaner will do it safely and relatively quickly without harming the bore. I have used it to eat the remains of a stuck case out of a die after the stuck case remover tore its head off. It took several days, and I had to pour the KG-12 off and back several times to keep things stirred, but it worked and saved an expensive carbide .223 die.
Once the brush bristles are gone, you should be able to just pull the cloth out. The brass rod may help with that.