“wilderness of Maon.” Maon is likely a city about 9 miles southeast of Hebron and the “wilderness of Maon” is the Judean Wilderness (or desert) close to Maon but in the Arabah “south of the desert,” that is, south of the large tract of desert from east of Jerusalem down past east of Hebron.
[For the details of David’s journeys once he started running from Saul, see commentary on 1 Samuel 19:18.]