No they are imaginary beings.
You presented them. The information derived on them says that they are material composed of corporeal bodies. In comparison, I have just as much reason to believe in them as the crocoduck. The categorical composition being an exact match.
And as with all material beings, they are finite, would also have to be created at a set point in time by a creator. They would also be composed of a DNA code which would have to be written and programmed. Therefore, their existence would depend on the creator.
Information derived shows that your fairies live in a forest. Your leprechaun under a rainbow. It would be impossible for your leprechaun to create the earth from earth before the earth ever was. The same for your fairy.
Before you repeat what Hitchens says, do try to employ deductive logic. And this is just the creative aspect. Your idea of what God the Father is primarily stems from, again, the cessation of actual study. The idea that it is a man [in the sky], most likely came from depictions like Zeus, and Bruce Almighty. The discernment between records of God the Father, God the Son and God the Holy Spirit you most likely never bothered to discern. Though they are all one, their manifestation is depicted as God. You also look for a single entity, reasoning which came from that same source. This is way to extensive to get into, but when you believe that what was given came from hominids, you approach with your "superior knowledge" then spew words based on the belief that you don't need to study what was given. This is because your mental capabilities far surpass anything ever know to man. Why should you even bother reading works given by bigfoot....right? This is further drilled into you with references like "cretard" and such used by atheists to feed the ego. You'll learn.
The fact is, what was actually given, has been confirmed. And when you realize what God is, you will know what to look for, you will find, and avoid repeating fallacy. Till then
