The Housemaster site has this to say about North Salem:

North Salem is somewhat of an equestrian’s dreamland. The town’s farming history paved the way for plenty of open spaces and a rural setting, attractions that draw residents who enjoy the serenity and strive to maintain North Salem’s country qualities. With old churches and barns converted into houses lining the windy roads, horse-crossing signs are nearly as necessary as stop signs. Lean, strong horses can be seen grazing on the lush lawns of horse farms or behind fences close to the road, and are as common a sight in North Salem as squirrels or deer…North Salem’s history, dating back to 1731, resonates through the small town, which has a population of about 5,200. Delancey Hall, one of the three buildings that comprise Town Hall, is on the National Register of Historic Places. Driving along Route 116, also known as Titicus Road, one can view historical sites and structures, such as The Cable Barn, circa 1869, and Balanced Rock, a 60-ton mound of granite that rests on five smaller rocks. The rock does not match the make-up of typical rocks found in the area, so its placement remains a mystery. It is thought to have been left there during the glacial period…The eccentric characters that have come through the town over the years remain alive through storytelling, such as the hermit Sara Bishop, who supposedly lived in a cave and eventually froze to death there. In her spirit, people generally like to keep to themselves around town. The town has become a get-away for the rich and famous, including New York City Mayor Michael Bloomberg, David Letterman, Alan Menken, Stanley Tucci and others.

There’s a cluster of buildings around what in England we would call a “green”. It’s quite picturesque. This one is the Court House.

I believe this is Delancy Hall, which as mentioned above is on the National Register of Historic Places

Another of the Town Office Buildings

View across the green from the Court House pillars

The balanced rock. A sign next to it says:

The balanced rock is estimated to weigh 60 tons. Geologists refer to it as an “erratic”. The boulder is composed of a type of granite that does not match rock normally found in ths vicinity and is thought to have been deposited here during the glacial period. It has been suggested in recent years that this may be a dolmen – a celtic ceremonial stone used to memorialize the dead.”

The Cable Barn

Purdy’s Farmer and the Fish. Strangely for a resturant near the border of Westchester County, NY and Connecticut it specializes in fish. We had a very pleasant lunch in this 1775 building, also a landmark.  “Don’t Miss” New York Times Review here.

I don’t know what this house is (seems to be a private residence) and I don’t even remember if it’s in North Salem. If it’s not it’s certainly close by. UPDATE February, 24 2017. I’ve now discovered what this house is (see: A Mystery Solved)