Sharon was first settled in 1738 as part of Peterborough, known as Peterborough Slip or Sliptown. It was incorporated as Sharon in 1791 following the readjustment of a number of town lines. The name was that of a Connecticut town from which many settlers had come. Sharon is home to the Sharon Arts Center, founded in 1947 to offer courses in arts and crafts, and provide a gallery for exhibitions by local artists.