In early history, a band of marauders based on Triacus wreaked chaos on the inhabitants of the Epsilon Indi system. After many centuries of intrusion, the inhabitants of Epsilon Indi were finally able to rise up and destroy the marauders, leading to their corporeal extinction. (TOS: "And the Children Shall Lead")
In 2364, the location of Epsilon Indi was named in a star chart of a stellar neighborhood with Sol at the center. This chart was stored in the USS Enterprise-D library computer. Later that year, the chart was scanned by the Portal of Portal 63. (TNG: "The Naked Now", production art; TNG: "The Last Outpost")
The star chart naming stars within 20 light years of Sol was drawn by Rick Sternbach for the Star Trek Spaceflight Chronology in the late 1970s. Found on page 77, this chart showed Earth commercial and exploration routes after the use of warp drive began.
According to the Star Fleet Technical Manual, the Star Empire of Epsilon Indii was one of the founding members of the Federation. The eighth planet of the Epsilon Indi was stated to be Andor, the homeworld of the Andorian race in The Worlds of the Federation.
According to Star Trek: Star Charts (pp. 45, 66, "United Federation of Planets I") and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), the Draylax (Epsilon Indi) system was located in the Beta Quadrant. The primary was a K-class star. In the 22nd century, this system was a destination on the Earth trade routes. In the late 24th century, it was a Federation system.