Coatlán del Río is a town in the Mexican state of Morelos. It stands at 18°45′N 99°26′W / 18.750°N 99.433°W, at a mean height of 1,010 m…Coatlán del Río is a town in the Mexican state of Morelos. It stands at 18°45′N 99°26′W / 18.750°N 99.433°W, at a mean height of 1,010 metres above sea level. Coatlán is a name of Nahuatl origin, meaning "place of abundant snakes".