(covers information from several alternate timelines)
In 2293, the location of Organia in the Milky Way Galaxy was labeled in the star chart "The Explored Galaxy", which was on display in Captain James T. Kirk's quarters aboard the USS Enterprise-A. (Star Trek VI: The Undiscovered Country, okudagram)
In the alternate reality, in the 2250s, Organia was a flashpoint between Federation and Klingon forces. In 2259, Starfleet was tracking the movement of Organian representatives in the San Francisco Metropolitan Area. Their current position was IDed by a label superimposed on a map of the area. This map was seen on a powerwall in the office of Christopher Pike at Starfleet Headquarters. (Star Trek Into Darkness)
In 2267, Organia was the only class M planet located in the disputed region of space between the Federation and Klingon Empire. Due to its strategic location, Organia became the focal point of the First Federation-Klingon War, which eventually led to its invasion by the Klingons, led by Commander Governor Kor. (TOS: "Errand of Mercy")
In its original appearance, Organia was represented with a generic planet model that was also used to depict other planets including Alfa 177, M-113, and Gothos. In the 2007 remastered version of "Errand of Mercy", Organia was represented by a unique, digital planet model.
According to Star Trek Maps (chart D), Organia had a moon called Sais.
According to Star Trek: Star Charts (pp. 54, 57, 64) and the Stellar Cartography: The Starfleet Reference Library ("Stellar Cartography", p. 28, 30; "Federation Historical Highlights, 2161-2385"), Organia (Organia IV]] was a quarantined planet in the late 24th century. The planet had no capital, and the dominant species were the noncorporeal Organians. Not much was known to the Federation about the population, the official government, and if the Organians had become warp capable and, if so, when. The Organia system was located in the Beta Quadrant. The primary was a G-class star. This system was near the disputed border with the UFP (2152-2267). According to a map of the Klingon Empire – prepared by the Scribe K'Tark for the Klingon High Council in the Year of Kahless 893 (2366} – Organia was identified as a Klingon system. This claim was propagandistic, as the Empire claimed many border systems. This often put the Empire at odds with the Federation.