Where did nahor live?

There were two men named Nahor (Genesis ch.11), and both lived in the northern area of the Fertile Crescent (see Genesis 24:10).

More information:

The early Hebrews (including Nahor) were Abraham's uncles and cousins for several generations back. They were Western Semites and lived in northern Mesopotamia.In 1934-39, excavations were conducted at ancient Mari on the Euphrates River. They found that ancient towns were named after the ancestors of Abraham:
The city of Nahor was found near the city of Harran which exists to this day. Equally clear signs of early Hebrew residence appear in the names of other towns nearby: Serug (Assyrian Sarugi), Terah (Til Turakhi, "Mound of Terah"), and Peleg (Paliga, on the Euphrates near the mouth of the Habur). All these names are found in Genesis ch.11.