Hearst's team explained the ivory gown's floral embellishments reflected "the federal flowers from every state and territory of the United States of America".
But the designer took to Instagram to reveal personal details behind the piece.
Each flower took two to four hours to embroider, with "the Delaware flower positioned at the heart level of The First Lady", Hearst wrote.
The post ended by revealing the inspirational message hidden inside the coat.
"Representing the lifelong calling and service of Dr Biden as an educator is a … quote from Founding Father Benjamin Franklin: 'Tell me and I forget. Teach me and I remember. Involve me and I learn'," Hearst wrote in her post.
Jill Biden is a fan of the designer, having worn her creations in the past including a green silk, fringe-trimmed dress on three separate occasions – most notably at a 2020 presidential debate.
Hearst's designs are popular among the famous, having been worn by Oprah, Kate Middleton and Meghan Markle.
The label's classic, minimal aesthetic has been compared to luxury brand Hermes, although Hearst is keen on sustainability, using wool from her family's sheep farm in Uruguay.
She is also set to take over as the new artistic director of French house Chloe, following in the footsteps of Karl Lagerfeld and Stella McCartney.
Other choices from the former first lady had fashion fans in a frenzy too. Some speculated that shades of purple were a popular choice to represent bipartisanship, as the colour can be created from mixing reds and blues.
At the inauguration, Melania's black ensemble consisted of items from designers Chanel and Dolce & Gabanna. Her final Air Force One outfit, when the Trumps flew to Florida, couldn't have been more different. The Gucci kaftan-style dress, which had bright orange and blue patterns, was savaged by social media users.