Wood stove oil drip ?
It sounds like you are trying make a “yukon stove heater” that we used in the army tents. They dripped diesel through a drip valve in to a metal pipe that dripped on to a metal plate. The fire never wanted to go up the pipe. Fuel oil has to be hot to burn. You can’t just set it alight with a match. I assume the dripping oil keeps the metal pipe cool. They also had a gap between where it dripped and the metal plate that heated and vaporized the fuel. You had to start a regular fire in them to heat the plate before they would start to work properly. The hot plate vaporized the fuel. Pot burners, use a wick and an airflow chamber with baffles that mixes the air and heats the fuel to vaporize it. If you can find a burner and drip valve for one of those Yukon fuel oil burners I think that would be the trick. Since the burners are listed as an accessory to the stoves they should be available. BUT I couldn’t find it. Here is the best picture of the setup I could find, in the second and third
