Question: HMS Dartmouth was wrecked while on a mission to persuade the MacLeans of Duart to sign allegiance to a male monarch, informally known by what name in Northern Ireland and Scotland?

full_context: Document 1: Jesus of Lübeck: Jesus of Lübeck was a carrack built in the Free City of Lübeck in the early 16th century. Around 1540 the ship, which had mostly been used for representative purposes, was acquired by Henry VIII, King of England, to augment his fleet. The ship saw action during the French invasion of the Isle of Wight in 1545. She along with the "Samson" were used in an unsuccessful attempt to raise Henry VIII’s flagship, the Mary Rose, after she foundered during the Battle of the Solent. She was latter chartered to a group of merchants in 1563 by Queen Elizabeth. "Jesus of Lübeck" became involved in the Atlantic slave trade under John Hawkins, who organized four voyages to West Africa and the West Indies between 1562 and 1568. During the last voyage, "Jesus", along with several other English ships, encountered a Spanish fleet off San Juan de Ulúa (modern day Vera Cruz, Mexico) in September 1568. In the resulting battle, "Jesus" was captured by Spanish forces. The heavily damaged ship was later sold for 601 ducats to a local merchant.
Document 2: William I of the Netherlands: William I (Willem Frederik, Prince of Orange-Nassau; 24 August 1772 – 12 December 1843) was a Prince of Orange and the first King of the Netherlands and Grand Duke of Luxembourg.
Document 3: William III of England: William III (Dutch: "Willem" ; 4 November 1650 – 8 March 1702), also widely known as William of Orange, was sovereign Prince of Orange from birth, Stadtholder of Holland, Zeeland, Utrecht, Gelderland, and Overijssel in the Dutch Republic from 1672, and King of England, Ireland, and Scotland from 1689 until his death. It is a coincidence that his regnal number (III) was the same for both Orange and England. As King of Scotland, he is known as William II. He is sometimes informally known in Northern Ireland and Scotland as "King Billy".
Document 4: HMS Pique (1795): HMS "Pique was a 38-gun fifth rate frigate of the Royal Navy. She had formerly served with the French Navy, initially as the Fleur-de-Lys, and later as the Pique". HMS "Blanche" captured her in 1795 in a battle that left the "Blanche"' s commander, Captain Robert Faulknor, dead. HMS "Pique" was taken into service under her only British captain, David Milne, but served for just three years with the Royal Navy before being wrecked in an engagement with the French ship "Seine" in 1798. The "Seine" had been spotted heading for a French port and "Pique" and another British ship gave chase. All three ships ran aground after a long and hard-fought pursuit. The arrival of a third British ship ended French resistance, but while the "Seine" and "Jason" were both refloated, attempts to save "Pique" failed; she bilged and had to be abandoned.
Document 5: HMS Dartmouth (1655): HMS "Dartmouth" was a small frigate or fifth-rate ship, one of six ordered by the Council of State on 28 December 1654 and built in 1655. At the end of July 1689 HMS Dartmouth, commanded by John Leake, managed to break through the boom on the River Foyle allowing the siege of Londonderry by forces of James II to be relieved. After a lengthy career in the Royal Navy, she was wrecked in the Sound of Mull on 9 October 1690, while on a mission to persuade the MacLeans of Duart to sign Articles of Allegiance to William III and Mary II.
Document 6: James VI and I: James VI and I (James Charles Stuart; 19 June 1566 – 27 March 1625) was King of Scotland as James VI from 24 July 1567 and King of England and Ireland as James I from the union of the Scottish and English crowns on 24 March 1603 until his death. The kingdoms of Scotland and England were individual sovereign states, with their own parliaments, judiciary, and laws, though both were ruled by James in personal union.
Document 7: Fort Mary (Maine): Fort Mary was a British fort built in 1688 that saw action during Queen Anne's War and was located in Saco, Maine overlooking Winter Harbor / Biddeford Pool. The fort replaced Fort Saco (1708), which was built at Saco Falls during King William's War. The commander of the fort during King William's War was Captain John Hill. The fort was attacked in the Northeast Coast Campaign (1703) and natives killed 11 English and took 24 prisoner. Saco was raided again in 1704 and 1705. They overwhelmed the garrison in the fort at Winter Harbor (in present-day Biddeford near Biddeford Pool), forcing them to submit to terms of capitulation. Winter Harbor was raided two more times, in 1707 and 1710.
Document 8: Frigate action of 29 May 1794: The frigate action of 29 May 1794—not to be confused with the much larger fleet action of 29 May 1794 that took place in the same waters at the same time—was a minor naval engagement of the French Revolutionary Wars between a Royal Navy frigate and a French Navy frigate. The action formed a minor part of the Atlantic campaign of May 1794, a campaign which culminated in the battle of the Glorious First of June, and was unusual in that the French ship "Castor" had only been in French hands for a few days at the time of the engagement. "Castor" had previously been a British ship, seized on 19 May by a French battle squadron in the Bay of Biscay and converted to French service while still at sea. While the main fleets manoeuvered around one another, "Castor" was detached in pursuit of a Dutch merchant ship and on 29 May encountered the smaller independently cruising British frigate HMS "Carysfort".
Document 9: William II, Prince of Orange: William II (27 May 1626 – 6 November 1650) was sovereign Prince of Orange and stadtholder of the United Provinces of the Netherlands from 14 March 1647 until his death three years later. His only child, William III, reigned as King of England, Ireland, and Scotland.
Document 10: Cultural depictions of William III of England: William III of England has been played on screen by Bernard Lee in the 1937 film "The Black Tulip", based on the novel by Alexandre Dumas, père, Henry Daniell in the 1945 film "Captain Kidd", Olaf Hytten in the 1952 film "Against All Flags", Alan Rowe in the 1969 BBC drama series "The First Churchills", Laurence Olivier in the 1986 NBC TV mini-series "Peter the Great", Thom Hoffman in the 1992 film "Orlando", based on the novel by Virginia Woolf, Corin Redgrave in the 1995 film "England, My England", the story of the composer Henry Purcell, Jochum ten Haaf in the 2003 BBC miniseries "", Bernard Hill in the 2005 film "The League of Gentlemen's Apocalypse", Russell Pate in the 2008 BBC film "King Billy Above All", Egbert-Jan Weber in the 2015 film "Michiel de Ruyter", George Webster in "Versailles" (2015) and Carl Prekopp in the 2015 premiere of the play "Queen Anne".
Document 11: Prince William, Duke of Gloucester: Prince William, Duke of Gloucester (24 July 1689 – 30 July 1700 ) was the son of Princess Anne, later Queen of England, Ireland and Scotland from 1702, and her husband, Prince George, Duke of Cumberland. He was their only child to survive infancy. Styled Duke of Gloucester, he was viewed by contemporaries as a Protestant champion because his birth seemed to cement the Protestant succession established in the "Glorious Revolution" that had deposed his Catholic grandfather James II the previous year.
Document 12: Glorious Revolution: The Glorious Revolution, also called the Revolution of 1688, was the overthrow of King James II of England (James VII of Scotland) by a union of English Parliamentarians with the Dutch stadtholder William III, Prince of Orange. William's successful invasion of England with a Dutch fleet and army led to his ascension to the throne as William III of England jointly with his wife, Mary II, James's daughter, after the Declaration of Right, leading to the Bill of Rights 1689.
Document 13: Capture of the Vigilant: The Capture of the Vigilant involved Commodore Warren in HMS Superb (60 guns), Captain Durell in HMS Eltham (40 guns), Captain Calmady in HMS Launceston, Captain Douglas in HMS Mermaid and Captain John Rous of HMS Shirley Galley who fought the French ship Vigilant (64 guns) off Louisbourg. Captain Douglas in the Mermaid (40 guns) engaged the French ship Vigilant. John Rous in the Shirley Galley was the first to fire, giving the ship several broadsides into the stern. Captain Durell was next to give a broadside. The Commodore got alongside the ship they fired briskly, tearing the rigging and sails to pieces. Fog settled in and the Vigilant got away. In the morning, the Vigilant was visible and clearly wrecked. They took 100 French sailors prisoner to Boston.
Document 14: Battle of the Boyne: The Battle of the Boyne (Irish: "Cath na Bóinne" ] ) was a battle in 1690 between the forces of the deposed King James II of England, and those of Dutch Prince William of Orange who, with his wife Mary II (his cousin and James's daughter), had acceded to the Crowns of England and Scotland in 1688. The battle took place across the River Boyne near the town of Drogheda in the east of Ireland, and resulted in a victory for William. This turned the tide in James's failed attempt to regain the British crown and ultimately aided in ensuring the continued Protestant ascendancy in Ireland.
Document 15: HMS Wilhelmina (1798): HMS "Wilhelmina" was a 32-gun fifth rate frigate of the Royal Navy. She was previously a Dutch ship and had been built in 1787 for the Dutch Republic as the "Wilhelmina". She was renamed "Furie" in 1795, after the establishment of the Batavian Republic as a client state of the First French Empire. Like other Dutch ships at that time, she was pressed into service as part of French plans to support the Irish Rebellion of 1798 in the hope of destabilising Britain. The British captured her and the Dutch corvette "Waakzaamheid" in 1798 while the two were supporting French and Irish forces involved in the Irish Rebellion. The Royal Navy took both into service, with "Furie" regaining her original name. Sailing as HMS "Wilhelmina", she spent the bulk of her later career in the East Indies, serving mostly as a troopship. Here she fought an unequal battle against a large French privateer, and succeeded in driving her off and protecting a merchant she was escorting. "Wilhelmina" was almost the ship that faced a superior French squadron at the Battle of Vizagapatam, but she was replaced beforehand by the larger HMS "Centurion" . She spent the rest of her days as a guardship in Penang, and was sold there in 1813.
ground_truth: "King Billy"