There are two very good examples in Genesis concerning the importance of a woman never having children with another man.
The first example is between Abram’s (Abraham) wife, Sarai (Sarah), and Pharaoh. Genesis 12:14-15, 17, 19, “And it came to pass, that, when Abram was come into Egypt, the Egyptians beheld the woman that was very fair. The princes also of Pharaoh saw her, and commended her before Pharaoh: and the woman was taken into Pharaoh’s house…And the Lord plagued Pharaoh and his house with great plagues because of Sarai Abram’s wife…Why saidst thou, She is my sister? so I might have taken her to me to wife: now therefore behold thy wife, take her, and go thy way.”
The second example is between Isaac’s wife, Rebekah, and Abimelech, king of the Philistines. Genesis 26:7, 10-11, “And the men of the place asked him (Isaac) of his wife; and he said, She is my sister: for he feared to say, She is my wife; lest, said he, the men of the place should kill me for Rebekah; because she was fair to look upon…And Abimelech said, What is this thou hast done unto us? one of the people might lightly have lien with thy wife, and thou shouldest have brought guiltiness upon us. And Abimelech charged all his people, saying, He that toucheth this man or his wife shall surely be put to death.”