Columbia, formerly known as Point of Fork, is an village and census designated place in Fluvanna County, Virginia, United States, at the confluence of the James and Rivanna rivers. Following a referendum, Columbia was dissolved as an incorporated town – until that time the smallest in Virginia – on July 1, 2016. As of the 2010 census, the tow…Columbia, formerly known as Point of Fork, is an village and census designated place in Fluvanna County, Virginia, United States, at the confluence of the James and Rivanna rivers. Following a referendum, Columbia was dissolved as an incorporated town – until that time the smallest in Virginia – on July 1, 2016. As of the 2010 census, the town's population was 83, up from 49 at the 2000 census.