I think I have the same stove
I have a 1982 hunter 33, came with a alcohol stove with two burners on top and a oven with burner. I did not want alcohol, so I traded with a hunter 34 (1983) owner for his identical kerosene stove.. so.. could it be the same? If so, I have purchased burners from Force 10 for my Force 10 cabin heater and I also purchased a burner from a hardware store in Franklin, NC off the internet. I have never removed or serviced the burners on the Kenyon stove, but they appear to be simular to the ones I have purchased from the sources I just mentioned. If you could examine closely the burners on your stove and contact Force 10, they may carry the rebuild kits and burners that you seek. Let me know if I can help in some way, I will be happy to try and find the paper work on my stove, its around here somewhere. Good luck, David