Question: The Battle of Brooklyn references a battle during the Revolutionary War that was fought on whta date?

Context paragraphs:
Battle of Brandywine: The Battle of Brandywine, also known as the Battle of Brandywine Creek, was fought between the American army of General George Washington and the British army of General Sir William Howe on September 11, 1777.  The British Army defeated the American Army and forced them to withdraw toward the American capital of Philadelphia.  The engagement occurred near Chadds Ford, Pennsylvania during Howe's campaign to take Philadelphia, part of the American Revolutionary War.  More troops fought at Brandywine than any other battle of the American Revolution.  It was also the longest single-day battle of the war, with continuous fighting for 11 hours.

Battle of Brooklyn (college rivalry): The Battle of Brooklyn rivalry is the rivalry between the Long Island University Blackbirds and St. Francis College Terriers.  The Battle of Brooklyn is a fierce rivalry, particularly in men's college basketball, between the LIU Brooklyn Blackbirds and St. Francis Brooklyn Terriers athletic teams.  The intensity of the rivalry is augmented by the proximity of the two universities, located only one mile apart in Downtown Brooklyn.  The name of the rivalry is in reference to the first major battle of the American Revolutionary War, the Battle of Brooklyn.

Newtown Battlefield State Park: Newtown Battlefield State Park, formerly known as Newtown Battlefield Reservation, was the site of the Battle of Newtown fought in August 1779, during the American Revolutionary War.  It was the only major battle of the Sullivan Expedition, an armed offensive led by General John Sullivan that was ordered by the Continental Congress to end the threat of the Iroquois who had sided with the British in the American Revolutionary War.  In the battle, the Iroquois were defeated decisively.  The site is today managed as a 372 acre state park.

Battle of Paoli: The Battle of Paoli (also known as the Battle of Paoli Tavern or the Paoli Massacre) was a battle in the Philadelphia campaign of the American Revolutionary War fought on September 20, 1777, in the area surrounding present-day Malvern, Pennsylvania.  Following the American retreats at the Battle of Brandywine and the Battle of the Clouds, George Washington left a force under Brigadier General Anthony Wayne behind to monitor and harass the British as they prepared to move on the revolutionary capital of Philadelphia.  On the evening of September 20, British forces under Major General Charles Grey led a surprise attack on Wayne's encampment near the Paoli Tavern.  Although there were relatively few American casualties, claims were made that the British took no prisoners and granted no quarter, and the engagement became known as the "Paoli Massacre."

Battle of Minisink: The Battle of Minisink was a battle of the American Revolutionary War fought at Minisink Ford, New York, on July 22, 1779.  It was the only major skirmish of the Revolutionary War fought in the northern Delaware Valley.  The battle was a decisive British victory, as the colonial militia was hastily assembled, ill-equipped, and inexperienced.

Battle of Rhode Island Site: The Battle of Rhode Island Site is the partially preserved location of the Battle of Rhode Island, fought August 29, 1778 during the American Revolutionary War.  The battle took place in the town of Portsmouth, Rhode Island, located on Aquidneck Island north of Newport, and was the only major action of the war that took place in Rhode Island.  It was also significant as the only battle of the war in which an entirely segregated unit of African-American soldiers fought.  At the time of the action, the 1st Rhode Island Regiment consisted of companies of locally recruited African Americans with white officers.  The two main areas associated with the battle were designated a National Historic Landmark in 1974.

Nathan Hale (colonel): Nathan Hale (September 23, 1743 – September 23, 1780) was an American Revolutionary War Officer.  He was born in Hampstead, New Hampshire, son of Moses and Elizabeth (Wheeler) Hale.  In his teens he moved with his family to Rindge, New Hampshire.  He married Abigail Grout, daughter of Col. John and Joanna (Boynton) Grout of Lunenberg, Mass."At the organization of the town of Rindge in 1768, Nathan was chosen the first constable of the town.  He was moderator of the annual town meetings in 1773, 1774 and 1775.  As early as 1774 he was captain of a company of 'minutemen' and on the alarm of the battle of Lexington, 19 April 1775, he led his company at once to the field.  Four day after he was commissioned major in Col James Reeds regiment, and thenceforward continued in active service until his capture."  Hale participated in the American Revolutionary War and fought in the Battle of Lexington and Concord, Battle of Bunker Hill Siege of Fort Ticonderoga, and Battle of Hubbardton.  Hale was taken prisoner by the British.  He died on September 23, 1780 at the hands of the British at New Utrecht, LI, New York.

François Marie d'Aboville: François Marie d'Aboville (January 23, 1730 – November 1, 1817) was a French "général de division" (major general).  He was the father of Augustin Gabriel d'Aboville and Augustin-Marie d'Aboville.  He was born in Brest.  He fought in the Seven Years' War.  He fought in the American Revolutionary War against the British at the Battle of Yorktown (1781).  He fought at the Battle of Valmy in the War of the First Coalition.  During the Hundred Days of 1815 and after the Bourbon Restoration, he served in the Chamber of Peers.  He was a grand officer of the Legion of Honour and a recipient of the Grand Cross of the Order of Saint Louis.

Battle of Long Island: The Battle of Long Island is also known as the Battle of Brooklyn and the Battle of Brooklyn Heights.  It was fought on August 27, 1776 and was the first major battle of the American Revolutionary War to take place after the United States declared its independence on July 4, 1776.  It was a victory for the British Army and the beginning of a successful campaign that gave them control of the strategically important city of New York.  In terms of troop deployment and fighting, it was the largest battle of the entire war.

Battle of Cooch's Bridge: The Battle of Cooch's Bridge, also known as the Battle of Iron Hill, was a battle fought on September 3, 1777, between the Continental Army and American militia and primarily German soldiers serving alongside the British Army during the American Revolutionary War.  It was the only significant military action during the war on the soil of Delaware (though there were also naval engagements off the state's coast), and it took place about a week before the major Battle of Brandywine.  Reportedly, the battle that saw the first flying of the U.S. flag.

Supporting paragraphs: Battle of Brooklyn (college rivalry) Battle of Long Island
Answer: August 27, 1776