I would try and wrap a towel around the nose and put it in a bench vise and try some gentle persuasion.
First, try to determine if the saddle frame is bent or just the leather deformed. Often times, the rider's preferred position will cause the saddle to break in to one side or the other. In fact, in days gone by, saddles were often installer, angled slightly to one side or the other, to make room for body parts:-)
If the leather is just deformed, wet the leather and try to form it back into shape. You might even try Googling that procedure just to see what pops up.