Question: What is the name of the castle where Sir John Gordon was forced to surrender under Argyll in 1644?

Context paragraphs:
Guldeford baronets: The Guldeford Baronetcy, of Hempsted Place in the County of Kent, was a title in the Baronetage of England.  It was created on 4 February 1686 for Robert Guldeford.  The title became extinct on his death in circa 1740.  The Guldeford (or Guildford) family descended from Sir John Guldeford (d. 1493), Comptroller of the Household during the reign of King Edward IV.  After supporting the Earl of Richmond (later Henry VII), Sir John and his son, Sir Richard Guildford, were attainted by Parliament.  However, they were restored to favour after the accession of Henry in 1485.  Sir Richard gained prominence under Henry and notably served as Master of the Ordnance.  By his first wife Sir Richard was the father of Sir Edward Guildford, Lord Warden of the Cinque Ports and Master of the Ordnance, whose daughter Jane Guildford married John Dudley, 1st Duke of Northumberland.  Sir Richard Guildford's second son by his first wife, George Guildford, of Hempstead Place, Kent, was the father of Sir John Guldford, High Sheriff of Kent during the reign of Edward VI.  Sir John's son Sir Thomas Guldford entertained Elizabeth I in 1575.  Sir Thomas was the great-great-grandfather of Sir Robert Guldford, 1st Baronet.

Sir John Gordon, 1st Baronet, of Haddo: Sir John Gordon, 1st Baronet (1610 – 19 July 1644) was a Scottish Royalist supporter of Charles I during the Wars of the Three Kingdoms.  Gordon distinguished himself against the covenanters at Turriff, 1639, and joined Charles I in England.  Created a baronet in 1642 for his services, he was excommunicated and forced to surrender by the Covenanters under Argyll at Kellie in 1644 and was subsequently beheaded for treason at Edinburgh.

Elizabeth Gordon, Countess of Huntly: Elizabeth Gordon, Countess of Huntly (fl.  1566), was a Scottish noblewoman and the wife of George Gordon, 4th Earl of Huntly, Scotland's leading Catholic magnate during the reign of Mary, Queen of Scots.  In 1562, Elizabeth encouraged her husband to raise forces against Queen Mary which led to his being outlawed, and after his death, his titles forfeited to the Crown.  Elizabeth's son Sir John Gordon was executed for having taken part in his father's rebellion.

John Gordon Sinclair: John Gordon Sinclair (born 4 February 1962) is a Scottish actor most notable for playing Gregory in "Gregory's Girl".  He was born as Gordon John but took the stage name John Gordon Sinclair because Equity already had a Gordon John registered.

Kellie Castle: Kellie Castle is a castle just outside Arncroach, about 5 kilometres north of Pittenweem in the East Neuk of Fife, Scotland.

Sir John Gordon, 2nd Baronet, of Haddo: Sir John Gordon, 2nd Baronet (c. 1632–1665) was the eldest son of Sir John Gordon, 1st Baronet, of Haddo and Mary Forbes.  He succeeded to the title of 2nd Baronet on the execution of his father for treason on 19 July 1644, but due to his father's attainder, was under forfeiture until the Restoration in 1660.  On his death in 1665 without male issue the baronetcy devolved upon his younger brother, who was later created 1st Earl of Aberdeen.

John Clement Gordon: John Clement Gordon (1644–1726), originally just John Gordon, bishop of Galloway, was born in Scotland on 1644, and was a member of the Gordon family of Coldwells, near Ellon in Buchan, Aberdeenshire.  He became a chaplain in the Royal Navy and then royal chaplain "at New York in America", by which time he was a Doctor of Theology; when, on a vacancy in the see of Galloway, a "congé d'élire" in his favour was issued 3 December 1687.  He was accordingly elected bishop on 4 February 1688, and consecrated at Glasgow by John Paterson, Archbishop of Glasgow.

Viscount of Kenmure: Viscount of Kenmure was a title in the Peerage of Scotland.  It was created by Charles I in 1633 for the prominent Presbyterian Sir John Gordon, 2nd Baronet.  He was made Lord Lochinvar at the same time, also in the Peerage of Scotland.  The sixth Viscount was granted a marquessate in the Jacobite Peerage by the Old Pretender in 1707, and was involved in the Jacobite Rising of 1715.  He was found guilty of treason and beheaded with his titles forfeited.  However, they were restored by Act of Parliament in 1824 in favour of John Gordon, who became the tenth Viscount.  He had earlier represented Kirkcudbright in Parliament.  The titles became dormant on the death of the eleventh Viscount in 1847.  There are believed to have been descendants of the first Viscount living, but the titles have remained dormant.  The Baronetcy, of Lochinvar in the Stewartry of Kirkcudbright, was created in the Baronetage of Nova Scotia on 1 May 1626 for Robert Gordon.  The Viscountcy is named for the family seat, Kenmure Castle near New Galloway.

Gordon Linacre: Sir John Gordon Seymour Linacre, {'1': ", '2': ", '3': ", '4': "} (23 September 1920 – 5 February 2015), known as Sir Gordon Linacre, was a British press baron, journalist, and decorated Royal Air Force officer.

Emily Gordon Cathcart: Lady Emily Eliza Steele Gordon Cathcart (née Pringle) was born in 1845.  Her father was John Robert Pringle.  Her first marriage was to Captain John Gordon in 1865.  The natural son of Colonel John Gordon "the richest commoner in the northern kingdom" he had inherited his father's extensive assets, valued at £2-3 million in 1858, on the lower estimate .  The estate included Cluny Castle, North and South Uist, Benbecula and Barra.

Supporting paragraphs: Sir John Gordon, 1st Baronet, of Haddo Kellie Castle
Answer: Kellie Castle