I don't know what you mean by "lumpy tick over". But black smoke indicates too rich fuel mixture. Sooted up plug is also caused by too rich fuel & air mixture. Open throttle when running, and adjust mixture screw on carburetor (clockwise and counter-clockwise) until engine runs smoother. If not, it may be carb gasket and or diaphragm. Do you have fresh fuel in tank. Any moisture in tank or carb will make it run rough. If this doesn't fix it, I don't know what else to suggest
Robert Brown, August 2008