Question: What castle owned by Sir Ernest Wills has been a base for Menzies Clan Chief David Steuart Menzies?

full_context: Document 1: Broughty Castle: Broughty Castle is a historic castle on the banks of the river Tay in Broughty Ferry, Dundee, Scotland. It was completed around 1495, although the site was earlier fortified in 1454 when George Douglas, 4th Earl of Angus received permission to build on the site. His son Archibald Douglas, 5th Earl of Angus was coerced into ceding the castle to the crown. The main tower house forming the centre of the castle with four floors was built by Andrew, 2nd Lord Gray who was granted the castle in 1490.
Document 2: Sir Colin Campbell, 1st Baronet, of Lundie: Sir Colin Campbell of Lundie, 1st Baronet (died c. 1650) was a Scottish noble. He was the son of Colin Campbell of Lundie, who was youngest son of Colin Campbell, 6th Earl of Argyll. Sir Colin was created a baronet in 1627.
Document 3: Clan Stewart: Clan Stewart (Gaelic: "Stiùbhart") is a Highland Scottish clan. The clan is recognised by Court of the Lord Lyon; however, it does not have a clan chief recognised by the Lord Lyon King of Arms. Because the clan has no chief it can be considered an armigerous clan; however, the Earls of Galloway are now considered to be the principal branch of this clan, and the crest and motto of The Earls of Galloway's arms are used in the Clan Stewart crest badge. The Court of the Lord Lyon recognises two other 'Stewart' clans, Clan Stuart of Bute and Clan Stewart of Appin. Clan Stuart of Bute is the only 'Stewart' clan at present which has a recognised chief.
Document 4: Clan Nicolson: Clan Nicolson is a Lowland Scottish clan. The clan claims descent from an Edinburgh lawyer who lived in the 16th century and from a distinguished line of Aberdeen merchants who preceded him. During the mid-1980s David Nicolson, 4th Baron Carnock was recognised by the Lord Lyon King of Arms as the chief of Clan Nicolson. Around the same time, a Nicolson who claimed descent from the Highland clan of "Nicolsons" historically centred on Skye, petitioned the Lord Lyon King of Arms to be recognised as chief of his own clan. The Lord Lyon King of Arms accepted this man's petition on the condition he took the surname "MacNeacail". In consequence there are two Scottish clans with similar names—the lowland Clan Nicolson and the highland Clan MacNeacail.
Document 5: Menstrie Castle: Menstrie Castle is a three-storey manor house in the town of Menstrie, Clackmannanshire, near Stirling, central Scotland. From the early 17th century, it was home to Sir William Alexander, 1st Earl of Stirling, who was instrumental in founding the colony of Nova Scotia. It was later owned by the Holburn or Holborne family, who were created Baronets of Menstrie in 1706. The castle was restored in the 20th century, won a Civic Trust award, and now incorporates holiday accommodation, private flats, and a museum and cafe run by the National Trust for Scotland.
Document 6: Meggernie Castle: Meggernie Castle is a castle in the heart of Perth and Kinross, in central Scotland. It is located halfway up Glenlyon, where the river Lyon flows through on its way to join Loch Tay. From the 1920s until the 1950s, the castle was owned by Sir Ernest Wills, 3rd Baronet.
Document 7: Alexanders of Menstrie: The Alexanders of Menstrie, also known as the House of Alexander, are a sept of Clan MacAlister of Scotland, itself a branch of Clan MacDonald. The family is said to descend from Somerled, Lord of the Isles. The seat of the clan was at Menstrie Castle in Menstrie, Clackmannanshire. Descendants of the Alexanders of Menstrie have become prominent in Ireland, England and the United States.
Document 8: Menzies of Culdares: The title Menzies of Culdares came to prominence following the extinction of the main Menzies of Weem line in 1911. The Clan was without a Chief until Col. Ronald Steuart Menzies of Culdares and Arndilly, the lineal heir of Colonel James Menzies of Culdares, a prominent Covenanting officer and cousin of the first Baronet, petitioned Lyon Court in 1957 and obtained arms in the title of "The Menzies of Menzies". His son, David Steuart Menzies of Menzies is the present Chief. The title Menzies of Culdares was matriculated to his second son, Simon Menzies of Culdares, in 2006. Meggernie Castle in Glen Lyon, Perthshire was the Seat of the Culdares line
Document 9: Industry and the Eglinton Castle estate: The Eglinton Castle estate was situated at Irvine, on the outskirts of Kilwinning, North Ayrshire, Scotland (map reference NS 3227 42200) in the former district of Cunninghame. Eglinton Castle, was once home to the Montgomeries, Earls of Eglinton and chiefs of the Clan Montgomery. Eglinton Country Park now occupies part of the site.
Document 10: Kenmure Castle: Kenmure Castle is a country house in Dumfries and Galloway, south-west Scotland. The site was occupied from the Middle Ages, and the house incorporates part of a 17th-century castle. This was remodelled in the 19th century, but the house has been derelict since the mid-20th century. It was the seat of the Gordon family of Lochinvar, later raised to the peerage as Viscounts of Kenmure. The castle is located in The Glenkens, 1 mi south of the town of New Galloway. The ruin is a category B listed building and a scheduled monument.
Document 11: Menzies baronets: The Menzies Baronetcy, of Castle Menzies in the County of Perth, was a title in the Baronetage of Nova Scotia. It was created on 2 September 1665 for Alexander Menzies. The title became extinct on the death of the eighth Baronet in 1910. It was unsuccessfully claimed between 1914 and 1917 by David Prentice Menzies, of Plean Castle, Stirlingshire, who claimed to be the nearest lawful heir male of line of Captain James Menzies.
Document 12: Thurn and Taxis line of succession: The House of Thurn and Taxis, a princely dynasty which was sovereign until mediatized in 1806 and its noble status de-recognized following the fall of the German Empire in 1918, exists through several extant lines descending from Alexander Ferdinand, 3rd Prince of Thurn and Taxis. The rule of succession is agnatic primogeniture, which only allowed males to succeed to the main princely title so long as male members of the family survive. The current Head of the House of Thurn and Taxis is Albert, 12th Prince of Thurn and Taxis, whose historic style is "His Serene Highness" Albert, Prince of Thurn and Taxis.
Document 13: Culzean Castle: Culzean Castle ( , see yogh; Scots: "Cullain" ) is a castle overlooking the Firth of Clyde, near Maybole, Carrick, on the Ayrshire coast of Scotland. It is the former home of the Marquess of Ailsa, the chief of Clan Kennedy, but is now owned by the National Trust for Scotland. The clifftop castle lies within the Culzean Castle Country Park and is opened to the public.
Document 14: Bognie Castle: Bognie Castle (also called Conzie Castle) is a ruined castle near Huntly, in the Aberdeenshire region of Scotland. It was built in the 17th century and is now ruined. It once rose 4 storeys high.
Document 15: Castle Menzies: Castle Menzies in Scotland is the ancestral seat of the Clan Menzies and the Menzies Baronets. It is located a little to the west of the small village of Weem, near Aberfeldy in the Highlands of Perthshire, close to the former site of Weem Castle, destroyed c. 1502. The manager is David Henderson.
ground_truth: Meggernie Castle