Multiple realities(covers information from several alternate timelines)
Rigel III was the inhabited third planet of the Rigel system. Rigel III was located less than ninety light years away from Earth. (TNG: "All Good Things..."; ENT: "Two Days and Two Nights")
In an alternate future, Geordi La Forge had retired from Starfleet to become a novelist and was married to Leah Brahms. They had three children, Alandra, Bret, and Sidney. The family lived on Rigel III. (TNG: "All Good Things...")
According to the pronunciation guide for TNG: "All Good Things...", Rigel was pronounced as "RYE-jell". 
It was stated in "All Good Things..." that in the alternate future Leah was the director of the Daystrom Institute
, suggesting that an annex of the institute was located on Rigel III.
A bit of background chatter included in the script of Star Trek
, to potentially be used at the discretion of the director, mentioned setting a course to Rigel III.