Since southern NH has grown a lot in recent years I keep hearing more people say they're commuting between Laconia, Tilton, Concord, and Manchester. Ever since 2004 when gas started to get dramatically more expensive I started overhearing them in public saying they wished they could just take a train instead of driving. So, the Laconia-to-Boston route (and all the cities in between) may end up being just as busy as the Downeaster once finished (which would be a few years... what do we think gas prices will be like in a few years?) When the Downeaster opened in 2002 it wasn't that popular and the cost of gas for driving between Boston and Portland was still less than a ticket on the train. Then the price of oil went nuts.... then last year Amtrak started promoting a special schedule to accommodate Maine and NH people who wanted to attend the Red Sox games, so even more people discovered it.
At first people weren't too receptive to the train because they were so accustomed to driving but now the students have latched onto it. Therefore when the rails reach Concord and (if) Laconia successfully clamors for extension to their station, I could imagine Plymouth State University jumping up and saying "Why stop there? PSU students want train service like the UNH students have." It's all speculation... but with American society's renewed interest in mass-transit there could very well be train service running from Boston through Weirs Beach to Plymouth in 10 years... you never know.
This move to revitalize the railroads isn't isolated. Over in Maine they began a feasability study on revitalizing Maine's section of the Portland-to-St. Johnsbury VT rail line (which runs through Crawford Notch). They're determining how many people would use a Portland-to-Fryeburg commuter rail service.
In the last few years the state of NH has been promoting itself as an international travel destination and they've been running into the problem that European countries never traded their railroads for cars, so the foreigners come over to NH and become disappointed that they can't take a train to go places. Let's say that in 15 years Weirs Beach has passenger rail from Boston-Plymouth: you might be hearing British accents and see at least one food vendor selling fish 'n'chips under a Union Jack. What an interesting change that would be!
Sorry that was a bit off-topic, but only intended to say that the return of the railroads is not confined to the line that runs through Weirs Beach... Cars and cheap gas put NH's major railroads out of business in the 50s and 60s but now gas isn't cheap anymore so people are looking at those abandoned rail lines and saying "Hmmmmmm." It's happening in lots of places.