Gee, there's even a Website titled http://www.burningofkingston.com/. It says:

THE BURNING OF KINGSTON is a weekend-long celebration of American history, bravery, sacrifice and resilience. On a Fall October day in 1777, British troops set fire to the newly established first capital of the State of New York - Kingston. Burning down almost the entire town, over 300 buildings, the event was a dramatic moment in the American Revolution that only hardened the determination of colonists to gain independence. A biennial event, The Burning of Kingston is a mix of re-enactment, commemoration, and celebration.

It's a wonderful thing to drive along the Hudson River when the trees are in color. Kingston is a pretty little town. Wikipedia says it is 91 miles (146 km) north of New York City and 59 miles (95 km) south of Albany, so it's upriver where the Hudson gets very pretty. It's the home of Rondout Lighthouse, one of seven lighthouses remaining on the Hudson.

-Joe-

I found a Website that's a reproduction of a songbook titled Songs and Ballads of the AMERICAN REVOLUTION, but didn't find a Kingston song.