All this happened, more or less.

And God said to Avraham, As for Saray thy wife, thou shalt not call her name Saray, but Sara shall her name be. And I will bless her, and give thee a son also of her: and I will bless her, and she shall be a mother of nations; kings of peoples shall issue from her. Then Avraham fell upon his face, and laughed, and said in his heart, Shall a child be born to him that is a hundred years old? and shall Sara, that is ninety years old, give birth? And Avraham said to God, O that Yishma'el might live before thee! And God said, Sara thy wife shall bear thee a son indeed; and thou shalt call his name Yizhaq: and I will establish my covenant with him for an everlasting covenant, and with his seed after him. And as for Yishmae'el I have heard thee: Behold, I have blessed him, and will make him fruitful, and will multiply him exceeedingly; twelve princes shall he beget, and I will make him a great nation. But my covenant will I establish with Yizhaq, whom Sara shall bear to thee at this time next year.