It is important to note that not all names may be designated. There is, for example, a tradition that Ashkenazic Jews do not name their children after a living person. Yet, neither the Bible nor the Talmud make any reference to this prohibition. Indeed, just the opposite. The Lubavitcher Rebbe (Sha’arei Halacha U’Minhag, Yoreh De’ah, Volume III, p.298) notes that from verses in Genesis (See Genesis 11:24-26) it is evident that Terach (father of Abraham) named his son Nachor during the lifetime of his father, Nachor.