Parkeville, IndianaParkeville is an unincorporated community in [Greene Township, Parke County, Indiana|Parke County, Indiana|Greene Township], Parke County, in the U.S. state of Indiana.HistoryParkeville was platted in 1837. The community took its name from Parke County. A post office was established as Parkville in 1852 and remained in operation until it was discontinued in 1902.GeographyParkeville is located at.