Greetings Balsam and Terry,
The truth is, dear ones, is that the power of prayer to God is not a myth. Prayers made to the Father for a good purpose are always heard and answered. Ones who pray out of love for the benefit of their fellowman are heard with more favor than those who pray for the purpose of satisfying or pleasing their own flesh. All prayers that are made with a good purpose and a good intent are heard and answered.. always. Prayers that are made with either a malicious, selfish, or other bad intent are not always heard by the Father. Further, the Father is not the only one who answers prayers. The Devil also answers prayers to ones wanting things that are pleasing to them.
Those who have prayed for their children or loved ones not to die have had good intents or bad intents when making such prayers. The Father has his reasons for saving the FLESH of some, saving the SPIRIT of others, and allowing others to go to rest when they die. It all depends on what was in their hearts and what 'covenant' they had with the Father (which no one knows unless they can either 'read one's heart' or if the Spirit tells them) and what the Father's will was for them. Everything he does, he does with a purpose. Many people have prayed for ones to live when the one dying was praying to die. Many have prayed for ones to die while the one praying wanted to live. Many did not know what was best for them so they ask God to let his will be done, but those who prayed for the person were praying according to what they wanted.
There are many variables involved and many things the Father looks at. But everything he does is for the benefit of the sheep. All whom the Father gives to his Son, will come to him. And he will give all of them everlasting life. The Father's will is going to be done. Those who want salvation will be saved.. and those who do not want it will not be saved.