This is what Google translate said the text means. On a side note, I'm blown away by how coherent and precise it is!

It is said that it was around the time of the Edo period that folding cranes came to be broken in general due to the origin of a thousand paper cranes. There was only one paper at that time in rectangular shape, and to fold folding cranes it was necessary to cut out a square paper. On the other hand, leaving the rectangle, some cut off. By making incisions, folding cranes that did not have beaks or feathers was being done. We called these techniques "bridging and calling these multiple folded cranes" Thousand paper cranes ". It is said that "a thousand" represented a large number. In addition, this "thousand paper cranes" can be seen in the Ukiyo-e prints of the Edo era when the scene suspended on the Shinto shrine was seen, and at that time you can see that it was used as a lucky item and a mischief. It is said that since Taisho era has come, therefore, "Thousand paper cranes" to connect with threads has been made and square paper origami such as present are now on the market in general! It seems that it was not so long ago that it came to be.