This location is today known as Mount Zion. Originally Mount Zion referred to the hill that David captured from the Jebusites (2 Sam 5:7). The name change occurred when Byzantine pilgrims missed the parallelism in passages such as Mic 3:12 ("Therefore because of you, Zion will be ploughed like a field, Jerusalem will become a heap of rubble, the temple hill a mound overgrown with thickets"), thinking that two hills were referred to when the same hill was meant.
Visitors to the area today will find a site called "The Tomb of David" and another "The Upper Room," supposedly where Jesus celebrated the last supper with the disciples (the present building, though, dates to the Crusaders). The evidences for both claims are, at the moment, tenuous at best.
©ALBERITH
190420lch