See Josh. 15 and notes at Joshua 15:33-36, notes; Joshua 15:48-51, notes; Joshua 15:58-59, notes.
For Adullam see 1-Samuel 22:1 note. It was in the near neighborhood of Socoh Joshua 15:35; but its site cannot be actually fixed. It was a place of great antiquity Genesis 38:1.

He built even Bethlehem,.... The place of our Lord's birth, about six miles from Jerusalem:
and Etam; another city in the tribe of Judah; see 1-Chronicles 4:32, there was a rock of this name, Judges 15:8 and a fountain from whence waters were conveyed into the pool at Jerusalem, spoken of in Jewish writings (b):
and Tekoah; of which place Amos the prophet was, and which was about twelve miles from Jerusalem. Rauwolff (c) speaks of it as a fortified place now; he says it has a strong and mighty castle, built on a great and high hill.
(b) Cippi Hebrews. p. 10. (c) Travels, par. 3. c. 22. p. 321. Ed. Ray.

In Judah lay Bethlehem, a small city mentioned as early as in Jacob's time (Genesis 35:19), two hours south of Jerusalem, the birthplace of David and of Christ (Micah 5:1; Matthew 2:5, Matthew 2:11), now Beit-Lahm; see on Joshua 15:59. Etam is not the place bearing the same name which is spoken of in 1-Chronicles 4:32 and Judges 15:8, and mentioned in the Talmud as the place where, near Solomon's Pools, the aqueduct which supplied Jerusalem with water commenced (cf. Robins. Pal. sub voce; Tobler, Topogr. v. Jerus. ii. S. 84ff., 855ff.);
(Note: For further information as to the commencement of this aqueduct, see the masterly dissertation of Dr. Herm. Zschokke, "Die versiegelte Quelle Salomo's," in the Tbingen Theol. Quartalschr. 1867, H. 3, S. 426ff.)
nor is it to be looked for, as Robins. loc. cit., and New Bibl. Researches, maintains, in the present village Urts (Arts), for it has been identified by Tobl., dritte Wand. S. 89, with Ain Attn, a valley south-west from Arts. Not only does the name Attn correspond more than Arts with Etam, but from it the water is conducted to Jerusalem, while according to Tobler's thorough conviction it could not have been brought from Arts. Tekoa, now Tekua, on the summit of a hill covered with ancient ruins, two hours south of Bethlehem; see on Joshua 15:59.