Could the Litchfield Female Academy be connected to the 8 botanical samplers? Unlikely, as the school closed in 1833 before the era of these red and green applique designs. But...perhaps indirectly through a student who became a teacher of botany.
And do check in at our Facebook group HerbariumQuilt. It's public so you don't have to join. Post your pictures.
To Ornament Their Minds: Sarah Pierce's Litchfield Female Academy, 1792–1833 (Litchfield, CT: Litchfield Historical Society, 1993). Catalog of an exhibit.
Emily Noyes Vanderpoel, Chronicles of a Pioneer School: https://www.google.com/books/edition/Chronicles_of_a_Pioneer_School_from_1792/0J4WAAAAIAAJ?hl=en&gbpv=1&dq=Vanderpoel,+Chronicles+of+a+Pioneer+School&printsec=frontcover
The Litchfield Historical Society has a complex index to students and objects from the school: https://ledger.litchfieldhistoricalsociety.org/ledger/