Odense, KansasOdense is an unincorporated community in Neosho County, Kansas, United States. Odense is located at.HistoryOdense had a post office from the 1870s until 1902. The community was named after Odense, in Denmark.TransportationThe nearest intercity bus stop is located in Chanute. Service is provided by Jefferson Lines on a route from Minneapolis to Tulsa.