On several occasions in 2364, viewscreen readouts aboard the USS Enterprise-D showed the location of Epsilon Eridani, in the form of charts from the Enterprise-D library computer. (TNG: "The Naked Now", "The Last Outpost", "Conspiracy")
Star Chart Edit
This 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. Epsilon Eridani was a destination on a major commercial route. The stars Alpha Centauri, Sol, Sirius, and Tau Ceti were identified on "The Explored Galaxy" wall chart as being located in the Alpha Quadrant..
Epsilon Eridani (Axanar) was located in or near Federation space, in the Beta Quadrant. The planet and homeworld of the Axanar, Axanar, was located in this system. This was a binary star system. Epsilon Eridani A was a K class star with a magnitude of +5, which was the same brightness as Sol. Epsilon Eridani B was a K class. (Pg. 45, 60, "United Federation of Planets I")