The meaning and origin of the expression: Out of the mouths of babes and sucklings

Out of the mouths of babes and sucklings

What's the origin of the phrase 'Out of the mouths of babes and sucklings'?

From the Bible, King James Version:

Psalms 8:2: Out of the mouth of babes and sucklings hast thou ordained strength because of thine enemies, that thou mightest still the enemy and the avenger.

Matthew 21:16: And said unto him, Hearest thou what these say? And Jesus saith unto them, Yea; have ye never read, Out of the mouth of babes and sucklings thou hast perfected praise?