In real life, stars often have more than one "real name". So the first thing you need to do is check the
SIMBAD star catalogue database to find out all the possible names of the star you're looking for.
Next, look up each name in the ED galaxy map search. See if any of the queries return a hit.
Failing this, it would mean that your star is not in ED. In the ED galaxy, most of the stars are procedurally-generated, with no correlation to any real-world star except by pure chance. So the only thing you can do to "find your star" is to find a procedurally-generated star with similar qualities (in terms of basic star type, distance, from Sol, and direction) to the one you are looking for, and unilaterally declare the real star and the ED star to be one and the same.