Population: 2,378 Greenwood, west of Shreveport on Interstate 20, offers peaceful, rural living with all the conveniences of the city only minutes away. Many of its residents commute to work. There are many lovely older homes in this quiet community. The Flournoy House at 9251 Boisdarc is on the National Register for historic homes. The Dunn House at 9371 Greenwood Road is In the process of restoration.