Coppock is a city in Henry, Jefferson, and Washington counties in the U.S. state of Iowa. The population was 36 at the 2020 census. The Washi…Coppock is a city in Henry, Jefferson, and Washington counties in the U.S. state of Iowa. The population was 36 at the 2020 census. The Washington County portion of Coppock is part of the Iowa City, Iowa Metropolitan Statistical Area. There is only one business open to the public, a tavern/boat landing.