Sedgwick is a town in Lawrence County, Arkansas, United States. The population was 112 at the 2000 census.Sedgwick was named after John Sedgwick, who was a Major General in the Union Army during the American Civil War.As of the census of 2000, there were 112 people, 44 households, and 31 families residing in the town. The population density was 818.5 inhabitants per square mile (308.9/km²). There were 51 housing units at an average density of 372.7 per square mile (140.7/km²). The racial makeup of the town was 98.21% White, 0.89% Black or African American and 0.89% Native American.