I enjoyed this book beginning in about 1955 but had two older sisters (the oldest born in 1946) so it could have been purchased as early as that. It was a hard-covered book and had stories for children of different ages. Each story had, under its title, a number of asterisks (I think one through six) equal to the age of the child it was appropriate for. For example, ****** was a story for a six year old. The only title I remember from the book is “Peter, Please, It’s Pancakes”. I would love it if you could identify this book!
Another Here and Now Storybook, by Lucy Sprague Mitchell.
It’s a record, we had it too. If you go to The Kiddie Rekord King, online. you’ll find this and many more. They came as 78″s and there was a club you could join and just keep getting the newest record. Peter Muldavin is the gentleman who owns the site.