In my abortive gunsmithing foray I had a fellow bring me a model 60 Marlin with a stuck bullet and a splintered wooden dowel (heavily soaked in oil and swollen) jammed in the barrel. Removing that was a mother bear. First I had to fabricate a 3/16" brass circular "saw" to grind the dowel out, then soak the bullet with penetrating oil over night, (I swear by kroil brand), then use a steel rod to tap the bullet out into the chamber. (always drive the boolit back the way it came, unless it is handing out the barrel.) I charged him #35 dollars and he hollered, but I had over four hours shop time in the job which ought to have run him 80 dollars.
I would never recommend using a wooden dowel. Use a solid brass or steel rod with a wrapping of tape, and a bigger hammer.