If you have grease - in a pan - catch on fire - assuming this is still a "small" fire -
the best way to put it out is to slide a large cookie sheet across the top. It will suffocate the fire. Or slide the lid from one edge of the pan to cover the pot.
Start at one edge of the pan and SLIDE it across - if you try to plop it over the middle of the pan - flames will probably shoot out all around the edges instead of getting pushed to one side.
This was demonstrated at the Flint Hills Resources (refinery) Open House.
There are several videos on youtube demonstrating this.