The Bringloid V colony was located on Bringloid V in the Bringloid system, Ficus sctor.
It was founded by human Neo-Transcendentalists, but all records were lost in the chaos of the early 22nd century. The inhabitants, who call themselves the Bringloidi, had to leave their planet when Bringloid, this systems primary, entered a period of severe flare activity in 2365 and were relocated to Mariposa colony, another lost Earth colony in the Ficus Sector.
Both Bringloidi and Mariposans were transported by the colony ship SS Mariposa. (TNG "Up the Long Ladder")