Smith's Bible Dictionary
This word first occurs as given to Abram by the Canaanites, (Genesis 4:13 ) because he had crossed the Euphrates. The name is also derived from Eber, "beyond, on the other side," Abraham and his posterity being called Hebrews in order to express a distinction between the races east and west of the Euphrates. It may also be derived from Heber , one of the ancestors of Abraham. ( Genesis 10:24 ) The term Israelite was used by the Jews of themselves among themselves; the term Hebrew was the name by which they were known to foreigners. The latter was accepted by the Jews in their external relations; and after the general substitution of the word Jew, it still found a place in that marked and special feature of national contradistinction, the language.
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Smith, William, Dr. Entry for 'he'Brew'. Smith's Bible Dictionary. http://www.studylight.org/dictionaries/sbd/h/hebrew.html. 1901.