This is where the scene from Gone with the Wind comes in, where tightlacing had its first days (around the 1840s and 1850s).
The "cone" shape changed to an extreme hourglass at the same time that tightlacing gained popularity.
This practice of pulling a corset as tight as the wearer can handle is called tightlacing.
It also has an extensive Frequently Asked Questions section about tightlacing.