Greene County was created on February 3, 1786. The county seat is Greensboro GA. Greene County GA is named for Major General Nathanael Greene, the strategist who ranked second only to Gen. Washington. Born in Rhode Island in 1742, he died at his Georgia plantation in 1786. Points of Interest - The second largest lake in Georgia is Lake Oconee located in Green County. Lake Oconee has approx. 400 miles of scenic shoreline, award winning golf courses, and spectacular real estate opportunities in Greensboro GA.