1 Chronicles 3:5

And these were born unto him in Jerusalem; Shimea, and Shobab, and Nathan, and Solomon, four, of Bathshua the daughter of Ammiel:

Of Bath-shua the daughter of Ammiel - or Bath-sheba (2 Samuel 11:3), and there her father is called Eliam. Of course, Solomon was not her 'only son;' but he is called so, Proverbs 4:3, from the distinguished affection of which he was the object, and though the oldest, is named the last of Bath-sheba's children.