I just had an odd thought. The church is the bride of Christ, who is God the Son. Wouldn't that make the church, not the mother, but the daughter-in-law of the Father?
OK, works for me!
But look at the Church in another context, the context of Mary.
It doesn't exactly map out dot-for-dot nuclear-family-wise --- keep this bolded caveat in mind --- but you can surely say that Mary is a "daughter" of the Father (not by virtue of being a begotten daughter, but by virtue of being a regular human being in the State of Grace, and thus being made in the Imago Dei) --- again, not parallel to Jesus, but more parallel to Eve who, with Adam, was created in His Image...
Mary is the Mother of the Son and therefore she's the Mother of the Body of Christ, the Church...("Behold your mother.")
And Mary is the Bride of the Spirit, Who spousally "overshadowed her" (to use Luke's Biblical language) to bring about the conception of Jesus Christ Our Lord.
Mary is also an image of the Church (Holy Mother Church) as well as the primordial enemy of Satan ("I will put enmity between you [Serpent] and the woman, between your seed and her Seed) you can see in Genesis 3 and Revelation 12, bringing the Incarnate Christ into the World. Likewise an image of Daughter Zion, Daughter Jerusalem, Israel-as-Church and Church-as-Israel.
The images kaleidoscope around a bit: as usual, a multivalent Sign. Not "this only" but this AND that AND that.
This is wonderful food for thought.
And I'd love to muse over it lovingly with you and anybody else. But. I'm not going to argue about it. So if anybody just wants to take up the usual blunt-force-weapons, beat the poetry to death and argue over the remains ("no Mary's not! Not none 'o' that, Nope!") I say bless you, and bye!