Quite a few years ago you could not convince me that I did not see a Mountain Lion/Cougar/Puma in St Francois State Park. It was in the late morning/early afternoon. I was hiking a trail not too awfully far from the camp sites. I had my son, nephew and neice all under 10. We were making lots of noise and on a very well travelled trail. I was looking for anything I could point out to the kids and as I glanced here and there, I seen a large cat. No spots just a beautiful tan coat and perked ears. Now, first thing that flashed in my mind was fear/defense. I quickly looked for an out, and a large solid stick. Surveyed where the kids were, and were camp was as I estimated where we could go. Just as I seen what I thought would be the planed retreat, I looked back toward the cat, and it was not there. No noise, no obviously disturbed area where it was standing, just gone. The trees were small but tall, and I am not sure that they would have held the large cat. I don't know where it went, or how quickly it could have left. I never reported it formally, and now wonder if it was a mirage, a bobcat, or what.
Just my own account of an experience I have had.
P.S. We did not see anymore wildlife on that hike. We did continue and ending up off of the trail we started on and on a larger loop. But the kids still enjoy hiking.