As shown in the first brief video, the book came with a message clipped to the front cover.
It read: “With Compliments of The Office of The Duke and Duchess of Sussex.
“Please enjoy the advanced copy on behalf of Meghan, The Duchess of Sussex.”
Mr Malin also showed his advance copy of the book came with another, more personal message, penned by Meghan herself.
It read: “2021 – Dear Gray, From one parent to another – all my love from my family to yours… As ever, Meghan”.
In his Stories, Mr Malin commented on the gift from the Duchess with a written comment, reading: “Received some royal mail.
“Congrats on your new book, M!”
The photographer is believed to have first met Meghan in 2015 in Toronto, where she used to live while filming the TV legal drama Suits.
The clips by Mr Malin also showed one of the illustrations made by Christian Robinson.
The illustration could remind of Prince Harry and Archie, as it shows a father with ginger hair and beard holding his red-haired son by the hand.
Resemblances between Harry and Archie and the people depicted by Mr Robinson in The Bench had already been noted after an extract from the book was shared with the announcement of its publication.
The illustration released presented a ginger-haired soldier holding in his arm a joyous child, while the mum looked on with tears running down her cheeks.
Meghan announced she was to debut as an author on May 4, in a statement shared on Archewell.com.
The book, she said, stemmed from a poem she wrote for Harry on his first Father’s Day and focuses on the relationship between father and son as seen through the eyes of a mother.
She said: “The Bench started as a poem I wrote for my husband on Father’s Day, the month after Archie was born.
“That poem became this story. Christian layered in beautiful and ethereal watercolor illustrations that capture the warmth, joy, and comfort of the relationship between fathers and sons from all walks of life; this representation was particularly important to me, and Christian and I worked closely to depict this special bond through an inclusive lens.
“My hope is that The Bench resonates with every family, no matter the makeup, as much as it does with mine.”
The Bench is being published in the US by Random House Children’s Books.
It will also be distributed in other countries including Britain, where it will be published by Puffin, an imprint of Penguin Random House Children’s UK (PRH).
It is not known whether this project is for-profit or if the Duchess of Sussex is planning to donate the revenue from this book to charity.
Meghan is known to be a keen writer and used to have a successful lifestyle blog called The Tig.
The blog, which featured recipes, tips, travel guides and interviews, was shut down by the Duchess before her nuptials with Prince Harry.
As a member of the Royal Family, she wrote the foreword for the cookbook Together, by the Hubb Community Kitchen.