I suppose it might be called a leg trap. My great-grand did mention that he sometimes had to finish off the animals.....minks and such. And of course, sometimes he didn't. I know there are some people that have different views than me and not to sound ugly, but I might be a little harder than most. I can kill. I prefer to use my live traps, however. I say live traps, because it will stay alive until I find it. If it is a coon, it is going to be cooked. I want a fresh kill, don't I? And there are a few other things that aren't leaving the trap alive either. They did cost me a good deal of money, but when you consider what will happen if you don't have one, that is even more expensive.
If my coop was imperfect........as I have experienced long ago, then I would need a trap almost all the time. But I have been lucky this go round. Husband fixed me a coop that is really well put together. But if I get scared, for whatever reason and I think I need to do something, all the chickens will stay cooped and there will be 4 traps set. 2 live and 2 otherwise. Actually I consider the latter 2 to be more antiques and a personal gift than anything else, but I will use them if I need to.