Lawrenceville is a town in Brunswick County, Virginia, United States. Per the 2020 census, the population was 1,014. Located by the Meherrin River, it is the county seat of Brunswick County. In colonial times, Lieutenant Governor Alexander Spotswood had a stockade built nearby, called Fort Christanna, where converted Native American allies were …Lawrenceville is a town in Brunswick County, Virginia, United States. Per the 2020 census, the population was 1,014. Located by the Meherrin River, it is the county seat of Brunswick County. In colonial times, Lieutenant Governor Alexander Spotswood had a stockade built nearby, called Fort Christanna, where converted Native American allies were housed and educated.