Considering Bḥrn a patronymic is hypothetical. mhdrn (see CIH 359, 8, perhaps a fake), could be corrected into mḫdrn. mhṯfʾn: see Arabic ṯafā "to follow, keep close to", is translated by the SD "neighbourhood".
Solá Solé, Josep M. 1964. Inschriften aus Riyām. Sammlung Eduard Glaser. 4. (Sitzungsberichte der Österreichische Akademie der Wissenschaften. Philosophisch-historische Klasse, 243/4). Vienna: Böhlaus.