Hawesville is a home rule-class city on the south bank of the Ohio River in Hancock County, Kentucky, in the United States. It is the seat of its c…Hawesville is a home rule-class city on the south bank of the Ohio River in Hancock County, Kentucky, in the United States. It is the seat of its county. The population was 945 at the 2010 census. It is included in the Owensboro metropolitan area.