(covers information from several alternate timelines)
Telegraph Hill was a hill located in the city of San Francisco. It was located in the northeast corner of the city, and was notable as the location of the Coit Tower.
In 1986, Telegraph Hill was briefly seen on the viewscreen of the HMS Bounty as the ship entered the city. Later, the hill was seen again when Hikaru Sulu was delivering cargo to the ship. (Star Trek IV: The Voyage Home)
In the alternate reality of 2258, Telegraph Hill was seen as various shuttles departed from the city on their way to Starbase 1. (Star Trek) The location of Telegraph Hill was seen on a map of the city in 2259. The map was part of a larger collection of graphics and video media that were displayed on a powerwall in Admiral Alexander Marcus's office at Starfleet Headquarters. (Star Trek Into Darkness)