The whole NH-Canada border is horrible. The border is a tiny river called Hall's Stream and as is common with rivers it's changed its course a lot. There are now pieces of Quebec trapped in NH and pieces of NH trapped in Quebec. I don't think any of them are populated but I went to one of them whole hunting once so I can say I "invaded Canada"
The Canadian part is somewhat populated, but the US side is pretty much all just empty forest except a tiny little farm area in the west.
I just looked at it on Google Earth. There are a couple farms on the Canadian side but nothing else.
Yeah this is the one I went to. The Blue line is the stream and the yellow line is the International Border. I was on the east side of the river, but technically I was in Canada