I don't think there is. Such a story idea seems very out of the ordinary and might not have been explored in typical novel writing.
There could be many interpretations if this is a fictional or fan - created story. Maybe 'kakyoin' is a character in a particular universe, like a game or a comic, and the idea of laying an egg is some sort of strange or magical event within that context. But without more information, it's hard to say for sure.
The concept of a'superior' Pokemon laying an egg in fanfiction could be related to a unique power - up or transformation. Maybe the act of laying the egg is not a normal reproductive process but a way for the Pokemon to transfer its power or knowledge. For example, the egg could contain the essence of the superior Pokemon's abilities and when it hatches, it gives rise to a new entity with combined powers. This would add an interesting twist to the Pokemon fanfiction story.
I'm sorry, but I still have no knowledge about a story with this title. It could be a self - created or extremely rare story.
Others could be excited. They might see it as an opportunity for a new and powerful Pokemon to join their team or be part of their world. They would likely start making plans to protect the egg and ensure its safe hatching, perhaps even researching about it to find out what kind of Pokemon it might become.
Online resources like Project Gutenberg can be a great place. It has a wide range of public - domain books, and there may be some compilations of Old English stories there. Just be sure to search specifically for Old English works as it has a large volume of texts.
Perhaps a story of a woman who donates her eggs to help another woman who is unable to produce viable eggs. She goes through the complex process of egg donation, from the medical tests to the extraction. Her selfless act gives the other woman a chance to become a mother.
To be honest, I haven't come across a 'Harry Potter lays eggs' fanfiction myself. Fanfiction writers often come up with some really unique ideas, but this seems like a very odd and perhaps not very likely concept. It could potentially exist in the far reaches of the Internet where the most unusual fanfictions are found, but I can't say for sure without a more extensive search.
It's hard to say. There are so many Pokemon fanfics out there. This one, with its rather unorthodox idea of Ash laying Pokemon eggs, may not be mainstream popular. However, within certain circles of very creative and adventurous Pokemon fans who enjoy exploring unusual storylines, it could have some popularity.
The story of a woman who found out that her eggs had some unique genetic markers. These markers led to new research in genetics. She became a part of a large - scale study which aimed to understand more about hereditary traits passed through eggs.
I'm not sure if there is such a specific fanfiction with that exact title. Fanfiction can cover a vast range of themes and ideas, but this seems like a rather unique and perhaps not very common one. It might be difficult to find, if it exists at all.