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Her's a few cities in the USA with the name of Barnsville. There are more.

Barnesville is a city in Lamar County, Georgia, United States. The city is a part of the Atlanta Metropolitan Area.  Barnesville was once dubbed the "Buggy Capital of the World" as the town produced about 16,000 buggies a year around the turn of the century. Each year in the third week of September the town hosts an annual Buggy Days celebration.
Barnesville is located at 33°3′11″N 84°9′22″W / 33.05306°N 84.15611°W / 33.05306; -84.15611 (33.053090, -84.156217).

http://www.mapquest.com/us/ga/barnesville

Barnesville is a village in Belmont County, Ohio, United States. It is part of the Wheeling, West Virginia Metropolitan Statistical Area.  The village is the host of the Barnesville Pumpkin Festival every September, attracting tourists from the area.
Barnesville is located at 39°59′17″N 81°10′32″W / 39.988129°N 81.175483°W / 39.988129; -81.175483.
According to the United States Census Bureau, the village has a total area of 1.9 square miles (5.0 km2), all of it land.

http://www.mapquest.com/us/oh/barnesville

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   Barnesville is an unincorporated community in Rush and Ryan Townships of Schuylkill County, Pennsylvania, United States. Located in the northeastern part of the state, Barnesville lies within the anthracite coal region. Wikipedia

   
   

    

   
   

   Barnesville is located close to the center of North Carolina. Barnesville is part of Robeson County.

   
   

    

   
   

   http://www.usa.com/barnesville-nc.htm

   
   

    

   
   

   
   
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      Barnesville is a city in Clay County, Minnesota, United States. It is considered a bedroom community to the Fargo-Moorhead metro area. Barnesville Potato Days is held there annually in August. Wikipedia