After the recent bunch of lost camera reports, it prompted me to put my name, address and phone number on paper, and then take a picture of it. The picture is the first one on the camera, so if anyone looks at the pics, they will see it.
In fact, I took the picture and stored it on the camera's internal memory as well as the removable chip.
As for carrying it, I try to keep it in my pants pocket. Just a little tight putting it away or taking it out.
I think people lose cameras when they set them down someplace, then walk away without looking around. I did that once on the JMT with a pair of glasses. Got them back though, via ranger. I asked the next group of hikers to pick them up and carry them to a ranger station.