I'm with Yodaman on this. I regularily see a yellowish discolouration around kitchen ceiling fans, and it's cooking grease that accumulates on the ceiling from frying bacon, boiling french fries in oil, and making hamburgers in a frying pan. The oil in the pan is hot enough that oil molecules are carried up by the warm convective current and get deposited on the ceiling above the stove.
I use Simple Green to remove the grease on the ceiling, but I think any general purpose detergent (like Mr. Clean) would work equally well, as would any dish washing detergent (which are formulated to cut cooking grease). The only reason I use Simple Green is because it doesn't foam up like dish washing detergents do, so I don't have to rinse out my sponge 300 times in clean water to get all the soap out of it.
Backdown00:
Here, try cleaning the inside of that stove exhaust fan. If you find it's all caked up with grease, that's all the proof you need that animal fats and cooking oils are rising up in the convective air current that come off of hot surfaces like frying pans. If hot grease couldn't do that, then the inside of your stove exhaust fan shouldn't have any grease on it, should it? I can just about guarantee that sucker will be as greasy as John Travolta's hair.