2 And Abram said, Lord GOD, what wilt thou give me, seeing I go childless, and the steward of my house is this Eliezer of Damascus?
[AD 397] Ambrose of Milan on Genesis 15:2-3
Let us also consider what recompense he requests from the Lord. He does not ask for riches, as would a greedy person, nor for a long life in this world, as would one who fears death, nor for power. Rather he asks for an heir worthy of his work. “What will you give me?”—he says—“I am about to depart without children.” And then he says, “Because you have not given me posterity, a slave born in my house will be my heir.” Let everyone learn therefore not to despise marriage. Let them not unite with disreputable persons, so as not to have children of such a standing that they are unable to be their heirs. In view of the inheritance to be transmitted, if they are not moved by any consideration of decency, they at least should desire a worthy marriage.

[AD 397] Ambrose of Milan on Genesis 15:2-3
But the holy and prophetic mind is more concerned with an eternal posterity. What Abraham desires is in fact the offspring of wisdom and the inheritance of faith. This is why he says, “What will you give me, since I am about to depart without children?” What he desired was the progeny of the church. What he was requesting was a descendancy that would be not servile but free, not according to the flesh but according to grace.

[AD 407] John Chrysostom on Genesis 15:2-3
Since God had promised him a reward, a wonderfully, exceedingly great reward, Abraham revealed his grief of spirit and the disappointment affecting him constantly on account of his childless condition. He says, “Lord, what sort of thing will you give me? After all, you can see, I have reached the height of old age and am to pass on without children.” See how from the outset the just man showed his sound thinking in calling his departure from here a “passing on.” I mean, people who live an assiduous life of virtue really pass on from struggle, as it were, and are freed from their bonds when they transfer from this life. You see, for people living virtuously it is a kind of transfer from a worse situation to a better, from a temporary existence to an everlasting one that is protected from death and has no end.

[AD 407] John Chrysostom on Genesis 15:2-3
These words reveal the extreme degree of the pain in his soul. [It is if he were saying] to God, Far from being granted what my slave was, I am to pass away without child or heir, whereas my slave will inherit the gifts granted me by you, despite the promise received from you more than once in the words “to your descendants I will give this land.” Consider, I ask you, the just man’s virtue in this case also in the fact that while entertaining these thoughts in his mind he did not protest nor say any harsh words. Instead, driven on in this case by the words spoken to him, he spoke boldly to the Lord, revealed the tumult of his interior thoughts and made no secret of the wound to his spirit. Hence in turn he received instant healing.

[AD 420] Jerome on Genesis 15:2-3
(Chapter 15, Verses 2, 3.) Lord God, what will you give me? And I go without children: and the son of my household, this Damascus Eliezer. And Abram said: Behold to me you have not given seed: and the son of my household will be my heir. Whereby we have, and the son of my household: in Hebrew it is written, Uben Mesech Bethi: which Aquila translated, the son of the one who gives drink to my house: that is, the son who gives drink to my house. But Theodotius, and the son of my servant: that is, his son, who is in charge of my house. And as for what he says, this is it: I die without children, and the son of my steward, or overseer, who manages and distributes all the food of my household, is called Damascus Eliezer, and he will be my heir. Moreover, Eliezer means 'my God is my helper'. They say that Damascus was founded and named after him.

[AD 735] Bede on Genesis 15:2
And Abram said: Lord God, what will you give me? I go childless, and the son of the steward of my house is this Damascus Eliezer. And Abram added: You have given me no offspring; and behold, my servant will be my heir. He does not ask as though doubtful of God's promises, but simply inquires what reward he, who has no son in whom to rejoice as heir and participant of the divine promise, will receive from the Lord, and whether his servant will be his heir instead. This servant was called by two names, that is, Damascus, Eliezer, by whom, they say, the city of Damascus was both founded and named. But the Lord, favoring Abram's desires, promised him this reward which he sought, when he immediately added: