You may want to check the old classic book, “A Child’s Garden of Verses.” It has quite a few stories.
I don’t know how active this site is, but you might try here: https://www.oldchildrensbooks.net/
Olaf Reads?
What’s done is done is shakespearan. The book must be really obscure, Google did not have any hits on either parts of the sentences.
Could it be Picnic in the Sun: Bertie and Friends hit the Road by Christiane Duchesne?
There’s a very short old poem called Fleas: Adam had ‘em.
On my first trip to Japan, I went to a restaurant on a rainy day and left my umbrella in the Genkan (vestibule). It was Japan, right? Honest folks. When I came out my new umbrella was gone! I said, ‘Someone stole it!’
The Japanese lady I was with replied, ‘ Not stolen. Someone borrowed it and just hasn’t brought it back, yet.!
Finding a Book When You’ve Forgotten Its Title
By Gwen Glazer, Librarian.
“Stump the Bookseller” blog
A cool indie bookstore in Ohio that maintains extensive, searchable archives — and offers a $4 service for personalized help. Lots of children’s books here.
https://www.nypl.org/blog/2017/11/22/finding-book-forgotten-title?page=4
https://en.wikipedia.org/wiki/List_of_British_children's_and_young_adults'_authors_(1900-1949)
I'd start with the authors, click on each link, and see if you recognize the title in the list of each of their work.
https://en.wikipedia.org/wiki/Category:British_picture_books
I can lay my hands on “Peter Rabbit, Tank Killer” pretty fast.