The Name of God in Early Church Writings: Didache

We give thanks to Thee, O Holy Father, for Thy Holy Name which Thou didst make to tabernacle in our hearts, and for the knowledge and faith and immortality which Thou didst make known to us through Jesus Thy Child. To Thee be glory for ever. Thou, Lord Almighty, didst create all things for thy Name's sake, and didst give food and drink to men for their enjoyment, that they might give thanks to Thee, but us hast Thou blessed with spiritual food and drink and eternal light through Thy Child. Above all we give thanks to Thee for that Thou art mighty. To Thee be glory for ever.

Didache, The Teaching of the Twelve Apostles, 5.

The Name of God in Early Church Writings: Shepherd of Hermas (2nd century)

"Listen," he said: "the Name of the Son of God is great, and cannot be contained, and supports the whole world. If, then, the whole creation is supported by the Son of God, what think ye of those who are called by Him, and bear the Name of the Son of God, and walk in His commandments? do you see what kind of persons He supports? Those who bear His Name with their whole heart. He Himself, accordingly, became a foundation to them, and supports them with joy, because they are not ashamed to bear His Name."

Shepherd of Hermas, Book Three, Similitude Nine, 
Ch. 14.