Psalm 68:5 calls God "a father of the fatherless." The child whose household lacks a consistent mother — through death, departure, or circumstance — is not fatherless in God's economy. God claims the parental role specifically for the child who lacks one. The single father who prays for his children is praying alongside the God who calls himself a father to the fatherless.
Deuteronomy 1:31 contains Moses' reminder to Israel of how God carried them through the wilderness: "as a man doth bear his son." The image chosen is explicitly paternal — a father carrying his child through territory too difficult for the child to walk alone. God is not distant from the single father's work. He uses fathering as a metaphor for how he carries his people.
Commentary is from a charismatic Protestant perspective, drawing on KJV text and public-domain sources including Spurgeon, Andrew Murray, and Matthew Henry.