"Writings of St Augustine" Is that where babies need to have water sprinkled on their head by a priest or they are doomed to eternal damnation?
So, before St. Augustine's epiphany, all infants and children that died are relegated to Hell's fire? Nope...I am not onboard with that doctrine at all.
I lean more towards the Lord Jesus's doctrine...
Luke 18:16-17 KJV
16 But Jesus called them unto him, and said, Suffer little children to come unto me, and forbid them not: for of such is the kingdom of God.
17 Verily I say unto you, Whosoever shall not receive the kingdom of God as a little child shall in no wise enter therein.
It appears to me that the Lord looks favorably on little children