(covers information from several alternate timelines)
- You may be looking for the Vegan system.
The Vega system was an inhabited planetary system consisting of at least nine planets around its primary star Vega. By the early 22nd century, Vega colony was one the first Human deep-space colonies. (ENT: "Broken Bow", TOS: "The Cage", "Mirror, Mirror", VOY: "Child's Play")
In 2254, the USS Enterprise planned to make use of the medical facilities at the Vega colony to take care of the crew injured on Rigel VII and replace the personnel who needed hospitalization. (TOS: "The Cage")
The location of the Vega system was seen on a Federation star chart displayed in astrometrics on the USS Voyager in 2376. The system was shown in relation to Pollux IV, Jouret IV, Rigel, and Organia. (VOY: "Child's Play")
Prior to 2151, Earth ships had been operating within 90 light years of the Sol system. In that year, the Enterprise became the first ship to travel further than this distance. (ENT: "Two Days and Two Nights")
The Vega system was located in or near Federation space, in the Alpha Quadrant. This system, also known as Alpha Lyrae, was a single star system. Primary was a Class A star with a magnitude of +3, which was ten times the brightness of Sol. In the mid-22nd century, this system was a destination on the Earth trade routes. In the late 24th century, this system was a destination on the major space lanes. (pgs. 36, 44)