The waste, probably some high waste land to the south of the Dead Sea (Num. 21:20; 23:28; 1 Sam. 23:19, 24); or rather not a proper name at all, but simply “the waste” or “wilderness,” the district on which the plateau of Ziph (q.v.) looks down.
Jeshimon
Jeshimon is a place name, and the Bible uses it as a landmark. In Numbers, a stop on Israel’s journey is placed in a valley in Moab, at the top of Pisgah, which looks toward Jeshimon. In 1 Samuel it becomes a hiding ground: David and his men stay in the wilderness of Maon, south of Jeshimon, while Saul hunts for him, and the Ziphites tell Saul that David is hidden on the hill of Hachilah before Jeshimon. Those David chapters are the best place to start reading.
3 verses
Numbers
And from Bamoth in the valley, that is in the country of Moab, to the top of Pisgah, which looketh toward Jeshimon.
1 Samuel
And they arose, and went to Ziph before Saul: but David and his men were in the wilderness of Maon, in the plain on the south of Jeshimon.
And the Ziphites came unto Saul to Gibeah, saying, Doth not David hide himself in the hill of Hachilah, which is before Jeshimon?
From Easton's Bible Dictionary
Matthew George Easton, 1897