Finger is a town in McNairy and Chester counties, Tennessee, USA. The population was 350 at the 2000 census. The area in and around Fing…Finger is a town in McNairy and Chester counties, Tennessee, USA. The population was 350 at the 2000 census. The area in and around Finger was settled in the early to mid-1820s. Originally named McIntyre's Crossing, after Robert Thompson McIntyre, who was an early political leader and businessman, it was not named Finger until 1895. Between its settlement and 1895, the area progressed and both education and business were important to the area's inhabitants. During the American Civil War, the area provided many soldiers to the Union cause and the area largely Unionist and Republican in its politics.