Fog lights stay on when jeep is on/off. possible electrical problem?

Some jeeps use a 'pull' switch. Examine your indicator stalk. Turn on the twister for the lights then pull the twist grip away from the steering column towards the driver's door. This should turn the fog lights on. Try the attached web link.
How to use fog lights on jeep

If it didn't come with fog lights, it may also have not included a fog light relay and/or fuse. Check the owner's manual for fuse and relay locations, and then check if the necessary parts are there.

is the headlight switch in the fog lamp position?maybe the switch is bad

why not get a auto-electric shop to do what you cant do.
why not?
you want us web bunnies to teach electrics in this text box?
really>?
I can, but wont. not now,
what is best is leave the cars, electrics alone.
dont hack stock parts.
better is a clean install of fogs
also some states have laws on how fogs work, (logic based on headlamps or parking lamps) so .... i cant guess your state.
a new fuse box or inline fuse
a new relay,
a new switch
and wire it all so it cant catch fire. (that fuse does that)
if you need a schematic for fogs, its generic
and can be found 1,million hits on google

There is a small square "trap door" in each wheel well directly behind the fog lamps. You can pry it open and access the fog lamps. They just twist loose.

it sounds like coolant was also spraying the engine or something,but you need to have the codes read to know exactly whats going on.

I have a simular problem. Only mine does not some on. I tried to replace the turn signal switch assembly with a used one. The replacement work ok on the fog lights but the rest was bad. As near as I can figure it, the switch assemble is not well made and had many ways to go bad. Either replace the whole assemble or wire in a bipass switch. I am going to go with a bipass switch. I don't trust the new jeep products.

Or you could just pull out the relay under the hood, it's marked fog lights, pull the relay out. If your hi beam indicator is flashing with your fog lights on them selves. Could be the multi function switch. That controls turn signals, headlights, fog, I have seen many of those go bad.