The Rio Cobre is a river of Jamaica. Its source is in the Rose Hall Mountain in the north-east of Saint Catherine Parish, the headwaters being a writhing of unnamed, seasonally dry tributaries. The highest of these rise just above the 1,135 feet contour. From here it flows to meet the Caribbean Sea into the Hunts Bay. It is dammed by the Rio Cobre D…The Rio Cobre is a river of Jamaica. Its source is in the Rose Hall Mountain in the north-east of Saint Catherine Parish, the headwaters being a writhing of unnamed, seasonally dry tributaries. The highest of these rise just above the 1,135 feet contour. From here it flows to meet the Caribbean Sea into the Hunts Bay. It is dammed by the Rio Cobre Dam just above Spanish Town.