Melber, Kentucky  Melber (also known as Burg and Lewisburg) is an unincorporated community in Graves and McCracken counties in the U.S. state of Kentucky. Andy Melber, an early postmaster, gave the community his last name. Melber's zip code, 42069, has been the subject of memes due to the numbers 420 and 69 appearing in succession of one another.