Paul prayed earnestly for the salvation of the Jews. Certainly it is appropriate for us to pray for the salvation of our children. How wonderful if some of your specific prayers are answered. What a foundation for your families future faith. Pray for wisdom to raise them right.
Parenthood takes brains.
For instance, any kid will run an errand for you if you ask him at bedtime. There are things that even the best fathers cannot do for their children. The father came to Jesus in great distress. Humans have limits. You find this out during a crisis.