Instead of the oil lamps and the potential problems you might encounter with them, one might consider the single or multiple candle lanterns like those available from REI. Solid fuel, less likely to spill, easier to store.
They have a Candleir(?) consisting of three cadles. In a store exhibit, they have a metal cup on the upper heat shield. Not sure that it would be good enough to heat to the point of boiling, but it would keep liquids warm.

FWIW.