The Battle of Averasboro took place in March 1865, and it was the first significant resistance the Union forces experienced as they barreled through the Carolinas and Georgia. The Battle of Bentonfield (located in Johnston County, NC) took place approximately three days later.
The Averasboro Battlefield Commission is responsible for preserving the historic site, and they are hosting a Civil War Re-Enactment on 17-18 September 2011.
The site is located in Dunn, North Carolina, which is in Harnett County. Directions and additional information can be found here for those of you who are interested.