Question: Sir David Cunningham of Robertland, in Ayrshire, was Master of Work to the Crown of Scotland from 1602 to 1607, and Surveyor of the King's Works in England from 1604 to 1606, what's the title, and the location near Stewarton, off the B769 road, in the old district of Cunninghame, Parish of Stewarton, and now part of East Ayrshire, Scotland, is called?

full_context: Document 1: Castle and Barony of Robertland: The Castle and Barony of Robertland (NS 4428 4693) is located near Stewarton, off the B769 road, in the old district of Cunninghame, Parish of Stewarton, and now part of East Ayrshire, Scotland.
Document 2: David Cunningham of Robertland: Sir David Cunningham of Robertland, in Ayrshire, was Master of Work to the Crown of Scotland from 1602 to 1607, and Surveyor of the King's Works in England from 1604 to 1606
Document 3: Lands of Lainshaw: The Lands of Lainshaw lie in Strathannick and were part of the Lordship of Stewarton, in East Ayrshire, Scotland. Lainshaw House is a category B listed mansion, lying in a prominent position above the Annick Water and its holm in the Parish of Stewarton, Scotland. Part of the much older Lainshaw Castle is contained within the several later building phases of the present day Lainshaw House. The names 'Langshaw' or 'Langschaw' were used in historic times. Law Mount near the High and Laigh Castleton farms has been suggested as the site of the original castle, granted in the 12th century to Godfrey de Ross by Hugo de Morville.
Document 4: Barony and Castle of Corsehill: The old Barony and castle of Corsehill lay within the feudal Baillerie of Cunninghame, near Stewarton, now East Ayrshire, Scotland.
Document 5: Surveyor of the Queen's Pictures: The office of the Surveyor of the King's/Queen's Pictures, in the Royal Collection Department of the Royal Household of the Sovereign of the United Kingdom, is responsible for the care and maintenance of the royal collection of pictures owned by the Sovereign in an official capacity – as distinct from those owned privately and displayed at Sandringham House and Balmoral Castle and elsewhere. The office has only been full-time since 1972. It now operates in a professional capacity with a staff of a dozen people.
Document 6: England and King David I: The relationship between the Kingdom of England and King David I, who was King of Scotland between 1124 and 1153, was partly shaped by David's relationship with the particular King of England, and partly by David's own ambition. David had a good relationship with and was an ally of Henry I of England, the King who was largely responsible for David's early career. After Henry's death, David upheld his support for his niece, the former Empress-consort, Matilda, and expanded his power in northern England in the process, despite his defeat at the Battle of the Standard in 1138.
Document 7: Surveyor of the Queen's Works of Art: The office of Surveyor of the King's/Queen's Works of Art in the Royal Collection Department of the Royal Household of the Sovereign of the United Kingdom is responsible for the care and maintenance of the royal collection of works of art owned by the Sovereign in an official capacity – as distinct from those owned privately and displayed at Sandringham House and Balmoral Castle and elsewhere.
Document 8: Barony of Peacockbank: The Barony of Peacockbank was in the old feudal Baillerie of Cunninghame, near Stewarton in what is now East Ayrshire, Scotland.
Document 9: Commissioners of Crown Lands (UK): The Commissioners of Crown Lands were charged with the management of United Kingdom Crown lands. From 1924 to 1954, they discharged the functions previously carried out by the Commissioners of Woods, Forests and Land Revenues. There were three Commissioners at any one time: the Minister of Agriculture, the Secretary of State for Scotland and one Permanent Commissioner.
Document 10: Kirkwood Estate, East Ayrshire: The Lands of Kirkwood (NS3947) formed a small estate in the Parish of Stewarton, East Ayrshire lying between Stewarton and Dunlop, which in 1678 became part of the lands of Lainshaw, known as the Lainshaw, Kirkwood and Bridgehouse Estate. Kirkwood was anciently known as Bloak Cunninghame. Kirkwood remains as a farm in 2010.
Document 11: Sir David Cunningham, 1st Baronet, of Robertland: Sir David Cunningham, 1st Baronet of Robertland was the grandson of David Cunninghame of Robertland, Master of Work to the Crown of Scotland for King James VI of Scotland. He was, by King Charles I, created a Baronet of Nova Scotia on 25 November 1630, by Letters Patent to him and his heirs male whatsoever.
Document 12: Cunningham of Drumquhassle: The Cunninghams of Drumquhassle were a family of the landed gentry in Scotland from the early 16th century to the mid-17th. They are linked to the Cunninghams of Kilmaurs in Ayrshire, being descended through junior lines via the Cunninghams of Polmaise. At their greatest extent, their lands included Mugdock-Mitchell and the house at Killermont (in modern-day Bearsden), covering the part of parishes of Strathblane and New Kilpatrick. John Cunningham, the third laird held several positions of responsibility within the Scottish court, including Master of the Royal Household for James VI and a Collector General of tax during the regency of the Earl of Lennox, but his involvement in the power struggles between the Scottish nobility and the court of Elizabeth I of England also led to his demise and he was executed for treason in 1585. Over the next century, the family lost its land and power – in the mid-17th century, the Cunninghams sold their country house in Drumquhassle in rural Stirlingshire and it passed to the Govane family.
Document 13: Robert Croc: Sir Robert Croc, posthumously often referred to as Sir Robert de Croc in reference to Crookston Castle), was an Anglo-Norman knight and landowner in Scotland in the High Middle Ages. He was given the Levern valley in Scotland by King David I of Scotland in 1170.
Document 14: Rowallan Castle: Rowallan Castle is an ancient castle located near Kilmaurs, about 5 km north of Kilmarnock, East Ayrshire, Scotland. The castle stands on the banks of the Carmel Water, which may at one time have run much closer to the low eminence upon which the original castle stood, justifying the old name Craig of Rowallan. Elizabeth Mure (died before May 1355) was mistress and then wife of Robert, High Steward of Scotland, and Guardian of Scotland (1338–1341 and from October 1346), who later became King Robert II of Scotland. She may have been born at Rowallan.
Document 15: The Lands of Lochridge: The Lochridge estate was in the old feudal Baillerie of Cunninghame, near Stewarton in what is now East Ayrshire, Scotland.
ground_truth: Castle and Barony of Robertland