Interesting. I also wanted to know more about this so did a bit of browsing.
I don't think anybody in particular invented the corset.
Archeological excavations gives us examples of frescos, mosaics and sculptures that proofs even 4000 years ago efforts were made to produce a small waist.
In other periods of history, it was customary for men to wear a corset and for children to be strictly corseted to make them grow up straight and tall.
The corset is probably the most controversial piece of garment in fashion history, it is seen as an instrument of torture, causing illness, death and miscarriages, an oppressor of women.
The first real corsets dates back from the first part of the 16th century, aristocratic women in Spain and Italy wore rib bodices. The aristocratic body was proud, stately, a theatrical work of art unlike the commons.
In the second part of the 18th century also the lower class began to wear corsets, especially in Paris. During the French revolution the corset became a point of discussion -liberté egalité fraternité-. However between 1814-1815 the loose empire style was out, fashion changed and the corset made her comeback. Women of all social classes got more access to the corset because of industrial revolution and democracy of fashion.Being beautiful was a duty - and a right-. In 1861 only in Paris more than 1,2 million of corsets were sold.
Again the corset became a subject of discussion by feminist and doctors. In the 20th century the corset became an orthopedic thing for the more matured women. It became more fashionable to say you didn't needed one, although the corset never went away it had its ups and downs in fashion.
I found an interesting article by Valerie Steel who wrote a book "The Corset a Cultural History", she looks at it from a different angle less anti- women.
The corset did not only attack the body, but gave women social status, selfdiscipline, artistically, respectability, beauty, youth and eroticism. Because in the 19th century the corset became an erotic attribute, she wanted to point out stories like squeezing in the waist so thight a woman nearly fainted were just fairy tales. Those stories came into the world by historians who took 19th century fetish pornography as a serious historic source in fashion history. She also questions if they were really a threat for womens health. Stories of deformed ribs, depressions and having ugly children and medical facts as removal of ribs are dismissed as a myth.
Wearing a corset wasn't maybe that bad , uncomfortable yes, tho I'm grateful they invented Lycra

Anna