@Sammee One of my friends had a little mouse in her house several years ago and they finally caught it with one of those glue traps. Her dumb dh tossed it over their fence (their home backed up to a creek and large field, no houses behind them). Later that day, they were outside doing some yard work and along came a big cat with the glue trap (and mouse!) stuck to its face.
They whistled innocently and mosied on back inside.
Moral: If you're going to dispose of a dead glue-trapped mouse, wrap it in something and put it in a covered trash can!