Question: Sir John Wedderburn joined which attempt by Charles Edward Stuart to regain the British throne for the exiled House of Stuart?

Context paragraphs:
John Wedderburn of Ballendean: Sir John Wedderburn of Ballindean, 6th Baronet of Blackness (1729–1803) was a Scottish landowner who made a fortune in the West Indian sugar trade.  Born into a family of impoverished Perthshire gentry, his father was executed for treason following the Jacobite uprising of 1745, and the young Wedderburn was forced to flee to the West Indies, where he eventually became the largest landowner in Jamaica.  In 1769 he returned to Scotland with a slave, one Joseph Knight, who, inspired by Somersett's Case in England, in which the English courts had held that slavery did not exist under English law, brought suit against Wedderburn for his freedom.  Knight won his claim, establishing the principle that Scots law would not uphold the institution of slavery.  Wedderburn ended his days as a wealthy country gentleman, having restored his family fortune and recovered the title Baronet of Blackness.

Ogilvy-Wedderburn baronets: The Wedderburn, later Ogilvy-Wedderburn Baronetcy, of Balindean in the County of Perth, is a title in the Baronetage of the United Kingdom created in 1803.  The baronetcy is a revival of an earlier title held by the family, which had been forfeited in 1746.  John Wedderburn was an advocate and Clerk of Bills.  On 9 August 1704 he was created a baronet, of Balindean in the County of Perth, in the Baronetage of Nova Scotia, with remainder to his heirs male whatsoever.  On the death of the third Baronet in 1723 the title was inherited by Alexander Wedderburn, the fourth Baronet, who was the nephew of the first Baronet.  The fifth Baronet was a Jacobite and fought at the Battle of Culloden in 1746, where he was taken prisoner.  He was executed for treason in November of the same year, with his title and estates forfeited.  However, his descendants continued to claim the title.  On 18 August 1803 David Wedderburn, "7th Baronet of Balindean" (but for the attainder), was created a baronet, of Balindean in the County of Perth, in the Baronetage of the United Kingdom, with remainder, failing heirs male of his own, to the heirs male of the fourth Baronet of the 1704 creation.  Wedderburn later represented Perth Burghs in the House of Commons and served as Postmaster-General for Scotland.

Jacobite rising of 1715: The Jacobite rising of 1715 (Scottish Gaelic: "Bliadhna Sheumais" ] ) (also referred to as the Fifteen or Lord Mar's Revolt), was the attempt by James Francis Edward Stuart (also called the Old Pretender) to regain the thrones of England, Ireland and Scotland for the exiled House of Stuart.

Charles Edward Stuart, Count Roehenstart: Charles Edward Augustus Maximilian Stuart, Baron Korff, Count Roehenstart (c. May 1784 – 28 October 1854) was the natural son of Prince Ferdinand of Rohan (1738–1813), Roman Catholic Archbishop of Cambrai, by Charlotte Stuart, Duchess of Albany, herself the natural but legitimised daughter of Charles Edward Stuart, "The Young Pretender" or "Bonnie Prince Charlie".  Roehenstart was later a passive Jacobite claimant to the British throne.

Sir John Wedderburn, 5th Baronet of Blackness: Sir John Wedderburn, 5th Baronet of Blackness was a Perthshire gentleman who joined the 1745 rebellion of Charles Edward Stuart and, captured at the Battle of Culloden, was afterwards convicted of treason.  He was hanged, his estates were forfeit to the Crown, and his family was attainted.

Henry Benedict Stuart: Henry Benedict Thomas Edward Maria Clement Francis Xavier Stuart, Cardinal Duke of York (6 March 1725 – 13 July 1807) was a Roman Catholic Cardinal, as well as the fourth and final Jacobite heir to claim the thrones of England, Scotland, France, and Ireland publicly.  Unlike his father, James Francis Edward Stuart, and brother, Charles Edward Stuart, Henry made no effort to seize the throne.  After Charles's death in January 1788 the Papacy did not recognise Henry as the lawful ruler of England, Scotland, and Ireland, but referred to him as the Cardinal Duke of York.

Battle of Prestonpans: The Battle of Prestonpans was the first significant conflict in the Jacobite Rising of 1745.  The battle took place at 4 am on 21 September 1745.  The Jacobite army loyal to James Francis Edward Stuart and led by his son Charles Edward Stuart defeated the government army loyal to the Hanoverian George II led by Sir John Cope.  The inexperienced government troops were outflanked and broke in the face of a highland charge.  The victory was a huge morale boost for the Jacobites, and a heavily mythologised version of the story entered art and legend.

Maria Clementina Sobieska: Maria Clementina Sobieska (in Polish Maria Klementyna Sobieska; 18 July 1702 – 18 January 1735) was a Polish noblewoman, the granddaughter of the Polish king John III Sobieski, the wife of James Francis Edward Stuart, Jacobite claimant to the British throne, and mother of Charles Edward Stuart and of Cardinal Henry Benedict Stuart

Jacobite rising of 1745: The Jacobite rising of 1745 (Scottish Gaelic: "Bliadhna Theàrlaich" ] , "The Year of Charles") was the attempt by Charles Edward Stuart to regain the British throne for the exiled House of Stuart.  The rising occurred during the War of the Austrian Succession, when most of the British Army was on the European continent.  Charles Edward Stuart, commonly known as "Bonnie Prince Charlie" or "the Young Pretender", sailed to Scotland and raised the Jacobite standard at Glenfinnan in the Scottish Highlands, where he was supported by a gathering of Highland clansmen.  The march south began with an initial victory at Prestonpans near Edinburgh.  The Jacobite army, now in bold spirits, marched onwards to Carlisle, over the border in England.  When it reached Derby, some British divisions were recalled from the Continent and the Jacobite army retreated north to Inverness where the last battle on Scottish soil took place on a nearby moor at Culloden.  The Battle of Culloden ended with the final defeat of the Jacobite cause.  Charles Edward Stuart fled with a price on his head before finally sailing to France.

Treason Act 1743: The Treason Act 1743 (17 Geo.II c.39) was an Act of the Parliament of Great Britain which made it high treason to correspond with any of the sons of James Francis Edward Stuart ("The Old Pretender"), who claimed to be king of Great Britain and of Ireland.  His sons were Charles Edward Stuart ("The Young Pretender") and Henry Benedict Stuart (who, after his elder brother's death in 1788, never asserted a claim to the throne).

Supporting paragraphs: Sir John Wedderburn, 5th Baronet of Blackness Jacobite rising of 1745
Answer: Jacobite rising of 1745