A cotton cultivar designated GW-13-1409 is disclosed. Embodiments include the seeds of cotton GW-13-1409, the plants of cotton GW-13-1409, to plant parts of cotton GW-13-1409, and methods for producing a cotton plant produced by crossing cotton GW-13-1409 with itself or with another cotton variety. Embodiments include methods for producing a cotton plant containing in its genetic material one or more genes or transgenes and the transgenic cotton plants and plant parts produced by those methods. Embodiments also relate to cotton cultivars, breeding cultivars, plant parts, and cells derived from cotton GW-13-1409, methods for producing other cotton cultivars, lines or plant parts derived from cotton GW-13-1409, and the cotton plants, varieties, and their parts derived from use of those methods. Embodiments further include hybrid cotton seeds, plants, and plant parts produced by crossing GW-13-1409 with another cotton cultivar.