In the publication "The Legend of Zelda Encyclopedia" by Dark Horse Comics, it was strongly suggested that the entirety of the first legend of Zelda game actually takes place on Death Mountain. Furthermore there are a lot of similarities between the entire map of The Legend of Zelda and the Death Mountain portion of the overworld from The Legend of Zelda: A Link to the Past, giving more credence to the claim.
Contributed by PirateGoofy