Blantyre is a town and civil parish in South Lanarkshire, Scotland, with a population of 16,900. It is bounded by the River Clyde to the north, th…Blantyre is a town and civil parish in South Lanarkshire, Scotland, with a population of 16,900. It is bounded by the River Clyde to the north, the Rotten Calder to the west, the Park Burn to the east and the Rotten Burn to the south.