The Cat Who Tailed A Thief by Lilian Jackson Braun

When small items disappear throughout the town, the residents are up in arms! Pickax has seldom fallen victim to "big city" crimes, particularly during the holiday season. But after the bridge club's money is stolen, the townspeople decide that there is more to this mystery. The rash of petty thievery started when banker Willard Carmichael and his much younger (and flashier) wife, Danielle, moved to Pickax from Down Below.