Final answer:
Obed is the child of Boaz and Ruth, father of Jesse, and grandfather of King David, with archaeological evidence like the Tel Dan stele confirming the historical existence of the House of David.
Step-by-step explanation:
The child of Boaz and Ruth who became the father of Jesse, who was the father of David, is named Obed. This lineage is significant in the Hebrew Bible as David is considered one of the greatest kings of Israel and the ancestor of Jesus according to the New Testament. While there is archaeological evidence referring to the "house of David," confirming his historical existence through the Tel Dan stele, the biblical account also offers a rich historical and religious context for understanding the importance of these figures.