Z's Korner Kones is the go-to ice cream destination in Hartington, Nebraska, at 118 N Broadway Avenue. Offering soft-serve cones, sundaes, milkshakes, and a rotating selection of seasonal frozen treats, Z's is a beloved stop for families and visitors in Cedar County. A classic small-town ice cream shop that has been delighting the Hartington community for years. A must-visit during warm-weather trips to northeast Nebraska.