Like an elementary school field trip

I've been reading Ron Chernow's 2004 biography of Alexander Hamilton, who started his Revolutionary career as an artillery officer at the age of 23. So when construction workers digging a subway extension in Manhattan recently happened on an old battery wall under "Battery Park," it seemed as though history was augmenting my book study with a little field trip of sorts. From the New York Times:

Three weeks after the Metropolitan Transportation Authority started digging a subway tunnel under Battery Park, the project hit a wall. A really old wall. Possibly the oldest wall still standing in Manhattan. It was a 45-foot-long section of a stone wall that archaeologists believe is a remnant of the original battery that protected the Colonial settlement at the southern tip of the island.

Could it be part of the same fortifications Hamilton stood atop during the first salvos of the war? As described in the book I'm reading:

On July 12, the British decided to throw the fear of God into the rebels and test their defenses by sending the Phoenix, a forty-four-gun battleship, and the Rose, a twenty-eight-gun frigate, past southern Manhattan with guns blazing ... Hamilton commanded four of the biggest cannon in the patriotic arsenal and stood directly in the British line of fire.

Cool, huh?