Uzziah reconquered and rebuilt Elath after his father's death.

"So we moved on and left the road that goes from the towns of Elath and Eziongeber to the Dead Sea, and we turned northeast toward Moab.

King Solomon also built a fleet of ships at Eziongeber, which is near Elath on the shore of the Gulf of Aqaba, in the land of Edom.

(It was after the death of Amaziah that Uzziah recaptured Elath and rebuilt the city.)