🔼The name Beeroth in the Bible
There is one place called Beeroth in the Bible, and one Beeroth Bene-jaakan (= Beeroth of the Sons Of Jaakan). The latter is mentioned in Deuteronomy 10:6, as a station of Israel during the wandering years. The place called just Beeroth was one of a few Gibeonite cities, which capitulated to Joshua right after the defeat of Ai (Joshua 9:17).
When Canaan was divided, Beeroth came to be part of the territory of Benjamin (Joshua 18:25). The place still existed in the time of king Saul (2 Samuel 4:2; here spelled בארות and everywhere else בארת) and even at the time of the exile (Ezra 2:25, Nehemiah 7:29).
The two men who murdered Ish-bosheth, Saul's son, and were subsequently executed by David, were called sons of Rimmon the בארתי (Beerothite; 2 Samuel 4:2). And one of David's mighty-men, Naharai, was a Beerothite as well (2 Samuel 23:37, spelled ברתי in 1 Chronicles 11:39).
🔼Etymology of the name Beeroth
The name Beeroth is the plural form of the feminine noun באר (be'er), meaning well:
For a meaning of the name Beeroth, both NOBSE Study Bible Name List and Jones' Dictionary of Old Testament Proper Names read Wells. BDB Theological Dictionary doesn't translate this name but does list it under באר.