Question: Mary Young Pickersgill was the creator of the flag that flew during the battle in which the US and British forces met at what location?

Context articles: Military of the Falkland Islands
Battle of Talas
Battle of Cape Spartel
Mary Young Pickersgill
Battle of Baltimore
Battle of Tonegawa
Impartial Female Humane Society
Battle of Pyliavtsi
Battle of Poimanenon
Battle of Jarnac

The Falkland Islands are a British overseas territory and, as such, rely on the UK for the guarantee of their security.
 The other UK territories in the South Atlantic, South Georgia and the South Sandwich Islands, fall under the protection of the British forces on the Falklands (also known as British Forces Falkland Islands or British Forces South Atlantic Islands), which includes commitments from the British Army, Royal Air Force and Royal Navy.
 They are headed by the Commander of the British Forces South Atlantic Islands (CBFSAI).
The Battle of Talas, Battle of Talas River, or Battle of Artlakh (; Arabic: معركة نهر طلاس‎ ‎ ) was a military engagement between the Arab Abbasid Caliphate along with their ally the Tibetan Empire against the Chinese Tang dynasty, governed at the time by Emperor Xuanzong.
 In July 751 CE, Tang and Abbasid forces met in the valley of the Talas River to vie for control of the Syr Darya region of central Asia.
 After a stalemate in several days of combat, the Tang lost the battle because the Karluks defected from the Tang side to the Abbasid side.
 The defeat marked the end of Tang westward territorial expansion, resulting in Muslim control of Transoxiana for the next four hundred years.
 Control of this region was economically beneficial for the Abbasids because it was on the Silk Road.
 Historians debate whether or not Chinese prisoners captured in the aftermath of the battle brought paper-making technology to the Middle East, where it eventually spread to Europe.
The Battle of Cape Spartel was an indecisive naval battle between a Franco-Spanish fleet under Admiral Luis de Córdova y Córdova and a British fleet under Admiral Richard Howe.
 These forces met on 20 October 1782 after Howe successfully resupplied Gibraltar, then under siege by Bourbon forces during the American Revolutionary War.
Mary Pickersgill (born Mary Young; February 12, 1776 – October 4, 1857), was the maker of the Star Spangled Banner Flag hoisted over Fort McHenry during the Battle of Baltimore in the War of 1812.
 The daughter of another noted flag maker, Rebecca Young, Pickersgill learned her craft from her mother, and, in 1813, was commissioned by Major George Armistead to make a flag for Baltimore's Fort McHenry that was so large that the British would have no difficulty seeing it from a great distance.
 The flag was installed in August 1813, and, a year later, during the Battle of Baltimore, Francis Scott Key could see the flag while negotiating a prisoner exchange aboard a British vessel, and was inspired to pen the words that became the United States National Anthem.
The Battle of Baltimore was a sea/land battle fought between British invaders and American defenders in the War of 1812.
 American forces repulsed sea and land invasions off the busy port city of Baltimore, Maryland, and killed the commander of the invading British forces.
 The British and Americans first met at North Point.
 Though the Americans retreated, the battle was a successful delaying action that inflicted heavy casualties on the British, halted their advance and allowed the defenders at Baltimore to properly prepare for an attack.
The Battle of Tonegawa was a battle during the final years of the Sengoku period (16th century) of Japan.
 During the year of 1571, the famed Uesugi Kenshin had advanced to the province of Kozuke and had attacked the satellite castle of Takeda Shingen --Ishikura castle--.
 Shingen had responded to Kenshin's attack, in which both forces met each other in a stand-off across the Tonegawa river.
 The opponents eventually disengaged each other after a well-fought battle.
The Impartial Female Humane Society was an early 19th-century benevolent organization established to assist distressed women in Baltimore, Maryland.
 The society was formed in 1802 and incorporated in 1811.
 Its most noted president was Mary Pickersgill, the seamstress who made the Star Spangled Banner Flag, who served from 1828 to 1851.
 Under Pickersgill, the society opened an Aged Women's Home in 1851.
 The home, which was supplemented with a men's home in 1864, became the focus of the society, and today the organization has evolved into the Pickersgill Retirement Community in Towson, Maryland.
Battle of Pyliavtsi (Ukrainian: Пилявцi ; Polish: "Piławce" ); September 23, 1648) was the third significant battle of the Khmelnytsky Uprising.
 Near the site of the present-day village of Pyliava, which at that time belonged to the Kingdom of Poland, and now lies in central-western Ukraine, Polish-Lithuanian Commonwealth forces met a numerically superior force of Ukrainian Cossacks and Crimean Tatars under the command of Bohdan Khmelnytsky and Tugay Bey.
 The Commonwealth forces were dealt a third consecutive defeat.
The Battle of Poimanenon or Poemanenum was fought in early 1224 (or possibly late 1223) between the forces of two of the main successor states of the Byzantine Empire, the Latin Empire and the Byzantine Greek Empire of Nicaea.
 The opposing forces met at Poimanenon, south of Cyzicus in Mysia, near Lake Kuş.
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The Battle of Jarnac on 13 March 1569 was an encounter during the French Wars of Religion between the Catholic forces of Marshal Gaspard de Saulx, sieur de Tavannes, and the Huguenots, near the nadir of their fortunes, financed by Reinhold von Krockow (who was wounded in the battle) and led by Louis I de Bourbon, prince de Condé, who was killed after his surrender and his body paraded on an ass in Jarnac, to Catholic jeers.
 The forces met outside Jarnac between the right bank of the Charente River and the high road between Angoulême and Cognac.