There are a few things you can do to clean soot off of a stone fireplace. The first is to use a cloth or a paper towel to get the soot off of the stone. The second is to use a vacuum cleaner and suction to suck the soot off of the stone. The third is to use a heat gun and heat up the soot until it melts. The fourth is to use an oven cleaner and water to clean the oven.