Victor, I can't believe a dog would eat a whole shoe, but you never know. There is probably a secret stockpile somewhere.
That reminds me of a story that was on the local news. In one neighborhood things went missing at several locations. They put up a surveillance camera and found out it was a cat that lived in the neighborhood. He had a bad stealing habit.
My Lab loved sticks when she was teething. I used to bring a branch from our avocado tree into the house. She would gnaw on it contentedly. It was a lot better than when I caught her gnawing on the bed frame and the floor boards!