Source
Ephesians 3: 14-15, 14 For this reason I bend my knees before the Father of our Lord Jesus Christ, 15 from whom each family takes its name in heaven and on earth. Reina Valera 1960 (RVR1960)
Without a doubt, the word of God expresses that the name of the "family" belongs to God and He extends it to man and woman.
If we speak in human terms, we link the identity of a husband, wife and children with their last name. This, however, identifies them superficially. Family identity has a deeper root.
"Family" is a word rooted in God: God is Father, the Father of our Lord Jesus Christ. God is, in itself, a "divine family." This in turn is expressed in the way God relates to people. The Bible reveals this aspect of God's nature in a rich and varied use of family images: God is our Father, God is the husband of his people, God is like a mother raising her children, Christ is the husband of church .
When a man and a woman join in marriage, God gives them this name that essentially belongs to them: the last name. The husband, wife and children live up to the true meaning of this word, when they reflect the nature and life of the divine family in the human family.