||Abram said, 'O Lord, God, what will you give me if I remain childless? The heir to my household will be Damascus Eliezer.'
Vayomer Avram Adonay Elohim mah-titen-li ve'anochi holech ariri uven-meshek beyti hu Damesek Eli'ezer.
||Abram continued, 'You have given me no children. A member of my household will inherit what is mine.'
Vayomer Avram hen li lo natatah zara vehineh ven-beyti yoresh oti.
He may have been called this because he was from Damascus, or because he led the chase to Damascus (Bereshith Rabbah 44). In Hebrew it is Dameshek, and some say it is a title given to the one in charge of a household or a teacher (Yoma 28b; cf. Amos 3:12).
Ben Meshek in Hebrew. It can also denote a steward or caretaker. (See Radak, Sherashim, s.v. Meshek, Shakak).