So far, petroleum jelly is a failure. Apparently, you can't burn the jelly directly, the heat just liquefies the jelly and it drips off where ever you're trying to burn it. A cotton ball with the jelly worked in will burn for a bit. I put a bunch of jelly into a can, and worked a bunch of cotton balls into the can, going 4 at a time. So I have this can with about 12 soaked cotton balls in there now. It won't light with the lid on. I suspect that the only way I can get it to light would be to light it with the lid off, and figure out a way to get that delicate can lid back on top before I engulf myself in flames.

It is looking like the best way to is to make a can, put some cotton balls in it, seal it up, and just keep the bottle of fuel in its own container with the stove and use it when you need it.