Are you familiar with the Nickelodeon show The Fairy Oddparents? Well if you ate not, that show is about how sad kids get fairy godparents to fulfil their wishes, so that they are not so sad any more.
Well that show is like a prequel to The Godfather, except that it takes place after The Godfather. It takes you through similar events to what happened to make the character of the Godfather how he is.
You see when he was a child he had Fairy godparents to furfil his wishes and make him happy. So when he grew up he also wanted to make people happy, by fulfilling their wishes, and he called himself The Godfather, after his Godparents. Who now was gone to help another kid in need.
A fun fact is that in The Fairy Oddparents we are actually following the same Godparents, just with a different kid, but on a similar journey. It was a very experimental form of a prequel, but one that worked marvellously well.