People can bear children outside of marriage, too. Having children is not the litmus for marriage.
The Church determines whether or not the marriage vows were fraudulently declared, declared in ignorance, declared under duress, or declared without full disclosure of personal information (e.g., "I'm really bisexual") between the man and woman.
It's debatable whether or not it's loosely granted. What's not debatable is the fact that a man or woman can be re-married (in sin), receive an annulment of the previous marriage, and be returned to good standing in the church.
Put that in your pipe and smoke it, NMH.
Ah, gotcha right here:
"What's not debatable is the fact that a man or woman can be re-married (in sin), receive an annulment of the previous marriage, and be returned to good standing in the church. "
Where in the Bible does God reveal that annulment is acceptable?