To any of you complaining, let me make something clear.
It was quite obvious that the spirit elemental kings aren't supposed to have children. Therefore the mother decided that she would give up her life and some of his aura to break whatever world law or rule there was to create the baby. It's not very hard to understand.
So from the mother's pov, the breaking of their relationship and her death was less important than the creation of her child. Simple.
Then the dad, distraught from the untrustworthiness of his lover decides to abandon the child rather than take care of it because that's what a lot of people in that situation would do. Distance theirself from their troubles.
She's left on the beach because... he's obviously the water elemental and the beach is the closest place to the ocean. To add onto that, she probably wouldn't have been harmed by the ocean since her dad is the water king. The beach is also out in the open so she can be easily found by people and rescued. It's not like the dad left her to die.
Finally, if you wonder about the world/dimensions, it seems like there is a modern world and a fantasy dimension/world. It may be through a magical wormhole or inside a barrier or whatever but the setting of the world is modern.
Hope that clears up some misunderstandings and misgivings about the story.
It doesn't look like a masterpiece but at least give it a chance. There are literally 2 chapters.