This is one of the first historical sites I’ve visited in my new city, New London; it’s actually Nathan Hale Schoolhouse #2 (he taught in a nearby town first, but decided it was too back-country for his tastes, so he moved here to teach, instead). He taught here for a year before joining the Continental Army to fight in the American Revolution.
The building dates back to the 1770s and has been lovingly restored by the Sons of the American Revolution. This is not its original location (it has been moved no less than six times). However, many of the original features remain intact, including some window panes and even some drawings made on the walls by children in the 18th and 19th centuries.
As you can somewhat see by the poster in the back left of the bottom picture, Lora Innes of The Dreamer visited not too long ago to give a talk about bringing Nathan Hale back to life in her comics! I only regret that I had but not moved here sooner, so I could have been here for her talk. Alas!