You'll look in vain for that name anywhere in history.
Don't play the "Church of Christ" name game. Someone can call their church whatever they want to call it, but calling it the "Church of Christ" or the "Church of God" doesn't make it the NT church, anymore than calling an orange an "apple" makes it the apple William Tell shot off his son's head.
Playing pretend games with names isn't a substitute for real historical scholarship.
But for what it's worth (IMO, not much), the Catholic Church, in her official documents, quite frequently refers to herself as the "Church of Christ" and also as the "People of God".
This is not pretend. Do you deny [John 17:11] and the prayerful request by Our Saviour to keep the Church in God's own name?
Let's read it again.....from the Douay. And now I am not in the world, and these are in the world, and I come to thee. Holy Father, keep them in thy name whom thou has given me; that they may be one, as we also are.
Can you tell me how your church, thinking they are the true church....ever missed this opportunity for sacred identification....and instead calls itself "Universal"?
Does have a nice ring to it, though. I've seen signs like this out in the hinterland. Wonder who established their canon though?
**Playing pretend games with names isn't a substitute for real historical scholarship.**
Well said.