Oregon Township is one of twelve townships in Clark County, Indiana. As of the 2010 census, its population was 1,769 and it contained 692 housing units. Oregon Township was organized in 1852. Oregon Township was purportedly so named because at the time of the township's organization, it was sparsely inhabited and considered as remote as the Oregon T…Oregon Township is one of twelve townships in Clark County, Indiana. As of the 2010 census, its population was 1,769 and it contained 692 housing units. Oregon Township was organized in 1852. Oregon Township was purportedly so named because at the time of the township's organization, it was sparsely inhabited and considered as remote as the Oregon Territory.