All of this history is reflected in the back-story of my novel, The Cenacle Scroll. Check out the opening chapters here.
From The Cenacle Scroll:
Udi was standing in the courtyard of the three-story, 12th-century building purporting to house both King David's Tomb and, on the second floor, the Cenacle, believed by Christians to be the site of the Last Supper. The truth was King David was no more entombed beneath the building than he was under Udi's front yard. But it had been venerated as such for almost a thousand years and there seemed little point in stopping now.
The reality was that the Crusaders had constructed the building as a chapel to the Last Supper over an already existing synagogue memorializing David's Tomb. The romanticized tourist literature aside, in the eyes of the scientific community that's all it was, just a very old memorial chapel with nary a stone, scrap of plaster or fragment of tile ever found and dated to the time of Christ.