I hope you enjoy this article! Please keep in mind that the story and its interpretations are fictional, as I couldn't find any information on a specific Japanese folklore or myth with this exact title. If you have any more information or context about the story, I'd be happy to learn more and improve the article.
“You’ll bring it next time?” he asked without pretense.
The story follows a simple, classic trope: a protagonist who ends up staying the night (the otomari part of the title) at a relative's house. The "Shinseki no Ko" refers to the relative’s daughter.
If you're trying to refer to the popular manga/anime series (From the New World), that could be a start. But the rest — no ko to o tomari dakara de watana — doesn't form a clear sentence.