Concord Hill, MissouriConcord Hill is an unincorporated community in Warren County, in the U.S. state of Missouri.HistoryA variant name was "Eckelkamp". A post office called Eckelkamp was established in 1891, and remained in operation until 1893. According to tradition, the community was named for the local harvest of Concord grapes. The community had Concord Hill Schoolhouse, now defunct.