Your best course of action would be to disassemble the gun and clean the chamber from the breech end.
You can also take a bore brush of the right size and bend the threaded portion 90 degrees. This will fit into the chamber from the breach end and you can work it back and forth somewhat. I would suggest that before hand you seal the breech with a cork and pore solvent into the bore of sufficient quantity to immerse the chamber. Let this sit for a while, maybe a couple of hours, to loosen the fouling.
You can also clean from the muzzle end, being careful to not damage the rifling. Insert the cleaning rod, sans brush, until it is visable in the chamber area. Then thread a chamber brush onto the rod and work it from the muzzle end. I would suggest a muzzle guard of some sort, again to protect the rifling. The soaking the chamber part comes into play here as well.