Question: Elizabeth Seymour, Duchess of Somerset was skewered in satire by the essayist who was Dean of what Dublin cathedral?

Context paragraphs:
Henry Ughtred: Sir Henry Ughtred (1533 – 1598 ), also known as Oughtred, was an English Member of Parliament, a shipowner and shipbuilder during the reign of Elizabeth I.  One of his ships, the "Leicester" sailed with Sir Francis Drake against the Spanish Armada.  A wealthy landowner, Sir Henry is known to have played an active role in the Plantations of Ireland and was knighted by the Lord Deputy of Ireland in 1593.  He was the son of Sir Anthony Ughtred and Elizabeth Seymour, sister to Jane, the third wife of Henry VIII.  After 1557 he married Elizabeth Paulet, the daughter of John Paulet, 2nd Marquess of Winchester and widow of Sir William Courtenay.

Dean of Christ Church Cathedral, Dublin: The Dean of Christ Church Cathedral, Dublin is the senior official of that church, the cathedral of the United Diocese of Dublin and Glendalough in the Church of Ireland, and head of the Chapter, its governing body.  A Dean has presided over Christ Church Cathedral since around 1539, before which the cathedral was a Priory under Augustinian rules, headed by a Prior, back to the time of Archbishop St. Laurence O'Toole.  Aspects of the cathedral administration are overseen by the Cathedral Board, which the Dean chairs (with both a regular and a casting vote).

Baron Seymour of Trowbridge: Baron Seymour of Trowbridge was a title in the Peerage of England.  It was created on 19 February 1641 for Francis Seymour, a younger son of Edward Seymour, Lord Beauchamp, for his support of Charles I in Parliament.  It became a subsidiary title of the Duke of Somerset in 1675, and became extinct on the death of Algernon Seymour, 7th Duke of Somerset in 1750.  The dukedom reverted to the elder line, the 6th baronet of Berry Pomeroy becoming 8th duke of Somerset.

Smithson baronets: The Smithson Baronetcy, of Stanwick in the County of York, is a title in the Baronetage of England.  It was created on 2 August 1660 for Hugh Smithson (1598-1670) of Stanwick St John, Yorkshire.  Sir Hugh Smithson, the fourth Baronet, married Lady Elizabeth Seymour, daughter of Algernon Seymour, 7th Duke of Somerset and heiress of the Percy family headed by the Earl of Northumberland.  In 1749 the Duke was created Earl of Northumberland, with remainder to his son-in-law Sir Hugh Smithson, who succeeded as second Earl on his father-in-law's death in 1750.  He assumed the surname of Percy and was created Duke of Northumberland in 1766.  The baronetcy remains merged with the dukedom.

Elizabeth Seymour, Lady Cromwell: Elizabeth Seymour (c. 1518 – 19 March 1568 ) was the daughter of Sir John Seymour of Wulfhall, Wiltshire and Margery Wentworth.  Elizabeth and her sister Jane Seymour served in the household of Anne Boleyn, the second wife of Henry VIII.  In his quest for a male heir, the king had divorced his first wife, Catherine of Aragon, whose only surviving child was a daughter, Mary.  His marriage to Anne Boleyn had also resulted in a single daughter, Elizabeth.  The queen's miscarriage of a son in January 1536 sealed her fate.  The king, convinced that Anne could never give him male children, increasingly infatuated with Jane Seymour, and encouraged by the queen's enemies, was determined to replace her.  The Seymours rose to prominence after the king's attention turned to Jane.

Hamilton Verschoyle: He was educated at Oswestry School and Trinity College, Dublin and ordained in 1829.  His first post was that of Curate at Newtownforbes after which he was the incumbent at the Episcopal Chapel, Upper Baggot Street in Dublin.  Promoted to be the Chancellor of Dublin Cathedral he also served on its Diocesan Education Board and was later Dean of Ferns before appointment to the episcopate as the third Bishop of Kilmore, Elphin and Ardagh.  His wife Catherine survived him by thirteen years.

Elizabeth Seymour, Duchess of Somerset: Elizabeth Seymour, Duchess of Somerset and "suo jure" Baroness Percy (26 January 1667 – 24 November 1722) was a great heiress.  She was styled Lady Elizabeth Percy between 1667 and 1679, Elizabeth Percy, Countess of Ogle between 1679 and 1680, Elizabeth Percy, Dowager Countess of Ogle between 1680 and 1681, Lady Elizabeth Thynne between 1681 and 1682 and Elizabeth Seymour, Duchess of Somerset between 1682 and 1722.  Elizabeth was the only surviving child and sole heiress of Joceline Percy, 11th Earl of Northumberland (1644–1670).  Lady Elizabeth was one of the closest personal friends of Queen Anne, which led Jonathan Swift to direct at her one of his sharpest satires, "The Windsor Prophecy" in which she was named "Carrots."

Jonathan Swift: Jonathan Swift (30 November 1667 – 19 October 1745) was an Anglo-Irish satirist, essayist, political pamphleteer (first for the Whigs, then for the Tories), poet and cleric who became Dean of St Patrick's Cathedral, Dublin.

Frances Seymour, Duchess of Somerset: Frances Seymour ("née" Devereux), Duchess of Somerset (30 September 1599 – 24 April 1674), was an English noblewoman who lived in the reigns of Elizabeth I, James I, Charles I and Charles II.  Her father was Robert Devereux, 2nd Earl of Essex, Elizabeth I's favourite who was executed for treason in 1601.  Lady Frances was the second wife of William Seymour, 2nd Duke of Somerset, and the mother of his seven children.

Anne Seymour, Duchess of Somerset: Anne Seymour, Duchess of Somerset (née Stanhope) (c.1497 – 16 April 1587) was the second wife of Edward Seymour, 1st Duke of Somerset (c.1500–1552), who held the office of Lord Protector during the first part of the reign of his nephew King Edward VI, through whom Anne was briefly the most powerful woman in England.  During her husband's time as Lord Protector she claimed precedence over the dowager queen Catherine.

Supporting paragraphs: Elizabeth Seymour, Duchess of Somerset Jonathan Swift
Answer: St Patrick's Cathedral