Question: How far south-west of Inverness is the castle of which Robert Lauder of Quarrelwood was Captain located?

Context articles: Lauder, Manitoba
Robert Lauder of Beilmouth
Tulipamwe
John Herspolz
Robert Lauder
Urquhart Castle
Robert Lauder (d. 1576)
Robert Lauder of Quarrelwood
Robert Lauder of Popill
Robert Lauder of the Bass

Lauder is a small community in the Rural Municipality of Cameron in Manitoba, Canada.
 The community is located at the junction of Highway 254 and Highway 345, approximately 100 km south-west of Brandon, Manitoba only 22 km south-west of the Town of Hartney.
 Lauder is about 3 miles south of the Souris River and the Lauder Sand Hills.
 Lauder was established in 1891 by the Canadian Pacific Railway and named after Archdeacon John Strutt Lauder, rector of Christ Church in Ottawa.
 The first survey laid out blocks 1-3 then in 1903, the CPR surveyors laid out blocks 4-7.
 About the only type of business the town didn't have in its long history was a fire department.
 The first of several devastating fires was "the great fire of 1894".
 125 years after its establishment, there is only one business left in town and most of the buildings are gone but the community spirit is strong.
 A vast amount of information about Lauder is available in ""The Rise and Fall of a Prairie Town"" See below.
Sir Robert Lauder of Beilmouth, Knt., (died 24 June 1709) was an armiger, lawyer and Clerk of Exchequer in Scotland.
 In 1683 he was made a Justice of the Peace for Haddingtonshire.
 As Robert Lauder of Belhaven he was in the old Scottish parliament for Haddington in 1685, and, as Sir Robert Lauder of Beilmouth, in 1704.
 He was also Commissioner of Supply for Haddington in 1689 and 1690.
Tulipamwe means "we are together" and is an independently funded artists project coordinated by the Tulipamwe Arts Trust in Namibia.
 The trust is organized under the auspices of the Visual & Performing Arts Department of the University of Namibia and is affiliated to the Triangle Network of Workshops initiated by Sir Robert Lauder.
John Herspolz or John Hepburn (died 1486) was Bishop of Dunblane.
 On the day of the resignation of the bishopric of Dunblane by Robert Lauder at the papal curia - 12 September 1466 - Pope Paul II provided Herspolz/Hepburn as Lauder's successor.
Robert Lauder, M.A., Bachelor of Canon Law, was a Scottish prelate and Nuncio of the 15th century.
 The Lauder family produced a large number of senior churchman in this period, and alongside Robert can be named William Lauder, Bishop of Glasgow, Alexander Lauder and Thomas Lauder, both Bishop of Dunkeld, and George Lauder, Bishop of Argyll.
Urquhart Castle (   ; Scottish Gaelic: "Caisteal na Sròine" ) sits beside Loch Ness in the Highlands of Scotland.
 The castle is on the A82 road, 21 km south-west of Inverness and 2 km east of the village of Drumnadrochit.
Robert Lauder of The Bass, (born before 1504 - died June 1576) was an important noble in Haddingtonshire, Berwickshire, and Fife.
 Stodart remarks that "to 1600 the barons of the Bass sat in almost every parliament".
 He was a firm supporter of Mary, Queen of Scots whom he accompanied to Carberry Hill on 14 June 1567, and fought for at the battle of Langside.
Sir Robert de Lawedre (Lauder), Knt., of Quarrelwood (died about 1370) was Justiciar of Scotia, a Scottish soldier of great prominence and Captain of Urquhart Castle.
 He is recorded by Fordun, in his "Scotichronicon", and in "Extracta ex variis Cronicis Scocie" as "Robertus de Lavedir 'the good'"
Sir Robert Lauder of Popill Knt.
 (died April 1575) was a Member of the old Scottish Parliament and an adherent of Mary, Queen of Scots.
Sir Robert Lauder of the Bass (before 1440 - c. January 1508) was a Scottish knight, armiger, and Governor of the Castle at Berwick-upon-Tweed.
 He was also a member of the old Scottish Parliament.
 The Lauders held the feudal barony of The Bass (the caput of which was its castle), East Lothian, Edrington Castle and lands in the parish of Mordington, Berwickshire, Tyninghame in Haddingtonshire (from the Archbishopric of St Andrews), and numerous other estates and properties elsewhere in Scotland.