It isn't going to return you anything useful. You basically have pictures, so you would just get the differences in color values.
It would take way less time to create a point file of the burn locations and tie those into a municipal lot file.
If you need the actual areas, then manually digitizing them would probably still be faster than performing a before and after image classification, cleaning the data up, doing some testing of the classification.
Human-ware is a pretty good tool, often under-rated and under-utilized