Barrington is a town in Strafford County, New Hampshire, United States. The population was 8,576 at the 2010 census. The town is a woodland, farm and bedroom community.HistoryBarrington was incorporated in 1722 and named for Samuel Shute of Barrington Hall, colonial governor of Massachusetts and New Hampshire. His brother was John Shute Barrington, 1st Viscount Barrington.The town was made up of two grants, the first containing all of Strafford and present-day Barrington except for a parcel two miles wide called New Portsmouth, or the Two Mile Streak. This second grant had been set aside to provide fuel and home sites for imported workers at the Lamprey River Iron Works, chartered in 1719 by the Massachusetts General Court to encourage industrial development in the province.Slow at first to be settled because of rocky soil, Barrington by 1810 had 3,564 residents, then the state's third largest town, its primary industry the smelting of iron ore. The Isinglass River, together with its tributaries, provided water power for grist, fulling and saw mills. In 1820, Strafford was set off from Barrington, reducing its land area by about half, because of lengthy travel required to attend town meetings.