'Heir' in the Bible

Then Abram said, "O Yahweh, my Lord, what will you give me? {I continue to be} childless, and {my heir} is Eliezer of Damascus."

And Abram said, "Look, you have not given me a descendant, and here, {a member of my household} [is] {my heir}."

And behold, the word of Yahweh [came] to him saying, "This [person] will not {be your heir}, but {your own son will be your heir}."

Then she said to Abraham, "Drive out this slave woman and her son, for the son of this slave woman will not be heir with my son, with Isaac."

And look, all of the family has risen up against your servant, and they said, 'Give up the one who struck his brother, that we may kill him in exchange for the life of his brother whom he murdered. We will also wipe out the heir,' and so they would put out my embers which remain, by not preserving for my husband a name and a remnant on the face of the earth."

for you will spread out [to the] right and [to the] left. And your descendants will be heir [to the] nations, and they will inhabit desolate towns.

Concerning the {Ammonites}: Thus says Yahweh, "Are there no sons for Israel? Or is there no heir for him? Why has Milcom taken possession of Gad, and his people dwelled in its towns?