Within the outcrop (which is actually the Skull Hill of the Garden Tomb) is a cave called Jeremiah's Grotto; it is believed that the Prophet Jeremiah wrote the Book of Lamentations here and was then laid to rest.
It is generally accepted that Prophet Jeremiah is buried at Jeremiah's Grotto. 
It is believed that Prophet Jeremiah never visited the Outcrop or Jeremiah's Cave.