Oh. Well... if you have oil heating (or no heating) you probably have an electric stove. I don't think I've ever seen a house with a gas stove that didn't have gas heat.
If you don't have gas heat, you can get a (large) propane tank for use with a gas stovetop. My first house had such a setup (oil heat).
Hm. That's new to me. Seems like more trouble than it's worth.
Some people are really attached to their gas stoves. I have seen this setup in western Massachusettes where gas-lines are not available.
Where I live [not the US] gas cooking is very common but heating is most commonly done by either heat pump (air conditioner set to reverse) or kerosene.