Nocona's system was an unnamed star with an associated star system, located in the Delta Quadrant near the border with the Beta Quadrant. This system's proper name is not known, but it was described as being the property of the humanoid known as Nocona, a mining commander who ran a company that sourced valuable metals from asteroids in surrounding space.
Nocona's system was centered around a small red star located in the vicinity of the New Talax planetoid. (VOY episode: "Homestead"; ST reference: Star Charts)