That is a very classy looking English 3 speed. I'm so sorry I can't assist more.
I can, however, say welcome to Classic and Vintage from another NH resident. In the first picture I thought you might have found it at the New London Stump Dump, where I pick up a good find from time to time. But I realized the sheds don't quite match. I spied this Norman Western Flyer there a couple of weeks ago but left it for others to adopt. Where in NH are you located?