That looks familiar!
In the picture that Dave B posted, what he thought might be piece of leather is just the buttstock wood. What looks like a crack on the left side I think might be the original cut where the spring was going to be mounted. I looked at that area closely, but couldn't tell if the spring had actually ever been mounted there or not. However, there was a very small crack through to the surface of the butt on that side. Maybe ol Dickert made a mistake and mounted the spring without enough wood between the spring and the surface of the stock!
At any rate, the spring is a simple one to make and easy to install. It's only about 1/4" wide so wouldn't need a lot of inletting. The way the cut looks, I don't think it was just pounded into the wood, but was inlet into the wood at least partially. The edge of the butt plate helps to hold it in place at both the curved 'spring' end and also the head end.
Even after more than 200 years the box cover still unlatches and latches easily, so I'd agree that it's a pretty good way of doing it.
Micah, if you'd like higher resolution copies of these pictures let me know, and I'll email them to you.
John