The reenactment of the Battle of Secessionville takes place in North Charleston, at Boone Hall, in November of each year. The actual battle took place on James Island, south of the city, in June. But who wants to reenact a battle in Charleston in June? :)
Go the the Charleston in the Civil War site. It is an excellent resource. There is a link to Charleston battles. You'll find everything you ever wanted to know about Secessionville under June 1862.