Question: William Stanley, 3rd Baron Monteagle resided in a castle located in what valley?

full_context: Document 1: Hatton Castle, Angus: Hatton Castle stands on the lower part of Hatton Hill, the most easterly of the Sidlaw Hills, to the south of Newtyle in Angus, Scotland. The castle overlooks the wooded Den of Newtyle, and its views extend across Strathmore and include Ben Lawers and Schiehallion as well as the Angus and Glenshee hills. The 16th-century castle was originally built in a typical Scottish "Z plan" tower house design, as a fortified country house or "château". There was an earlier castle called Balcraig Castle which stood less than half a mile from the present building, also on Hatton Hill.
Document 2: Edward Stanley, 3rd Earl of Derby: Edward Stanley, 3rd Earl of Derby KG (c. 10 May 1509 – 24 October 1572) was an English nobleman and politician.
Document 3: List of castles in Greater Manchester: There are nine castles in Greater Manchester, a metropolitan county in North West England. They consist of four motte-and-baileys, three fortified manor houses, an enclosure castle, and a possible shell keep. A motte-and-bailey castle has two elements, the motte is an artificial conical mound with a wooden stockade and stronghold on top, usually a stone keep or tower. A bailey is a defended enclosure below the motte, surrounded by a ditch. Motte-and-bailey castles were the most common type of castle in England following the Norman Conquest. A shell keep was a motte with a stone wall rather than a wooden stockade on top; there would have been no tower within the walls. Four of Greater Manchester's castles are Scheduled Ancient Monuments: Buckton, Bury, Radcliffe Tower, and Watch Hill. A Scheduled Ancient Monument is a "nationally important" archaeological site or historic building, given protection against unauthorised change.
Document 4: Hornby Castle, Lancashire: Hornby Castle is a country house, developed from a medieval castle, standing to the east of the village of Hornby in the Lune Valley, Lancashire, England. It occupies a position overlooking the village in a curve of the River Wenning. The house is recorded in the National Heritage List for England as a designated Grade I listed building.
Document 5: Mary Brandon, Baroness Monteagle: Lady Mary Brandon, Baroness Monteagle (2 June 1510 – between 1540/1544), was an English noblewoman, and the daughter of Charles Brandon, 1st Duke of Suffolk, by his second wife, Anne Browne. Mary was the wife of Thomas Stanley, 2nd Baron Monteagle, by whom she had six children.
Document 6: Thomas Spring Rice, 3rd Baron Monteagle of Brandon: Thomas Spring Rice, 3rd Baron Monteagle of Brandon
Document 7: Sir John Corbet, 1st Baronet, of Stoke upon Tern: Sir John Corbet, 1st Baronet of Stoke upon Tern (1594 – July 1662) was an English politician who represented Shropshire in the House of Commons of the long Parliament. A moderate Puritan, he was noted before the English Civil War for his campaigns against extra-parliamentary taxation, which led to his imprisonment, and for waging a long running dispute over control of his parish church at Adderley. He was a notable member of the Shropshire county committee, responsible for pursuing the war against the royalists. Part of a Presbyterian middle group in Parliament, he was one of those secluded from parliament by Pride's Purge, and was stripped of his remaining public offices after the Restoration.
Document 8: Castle Ashby: Castle Ashby is the name of a civil parish, an estate village and an English country house in rural Northamptonshire. Historically the village was set up to service the needs of Castle Ashby House, the seat of the Marquess of Northampton. The village has one small pub-hotel, The Falcon. At the time of the 2011 census, the parish's population (including Chadstone) was 111 people. The village contains many houses rebuilt from the 1860s onwards. These include work by the architect E.F. Law of Northampton, whose work can also be seen nearby at Horton Church. The castle is the result of a licence obtained in 1306, for Walter Langton, Bishop of Coventry, to castellate his mansion in the village of Ashby.
Document 9: De Hoghton baronets: The Hoghton or Houghton, later Bold-Hoghton, later de Hoghton Baronetcy, of Hoghton Tower in the County of Lancashire, is a title in the Baronetage of England. It was created on 22 May 1611 for Richard Hoghton, Member of Parliament for Lancashire. The Hoghton family had been landowners in Lancashire since the reign of King Stephen and had been Knights of the Shire for Lancashire since the 14th century. The second Baronet represented Clitheroe and Lancashire in the House of Commons and was a Royalist leader during the Civil War. The third and fourth Baronets both sat as Members of Parliament for Lancashire. The fifth Baronet was Member of Parliament for Preston and East Looe while the sixth and seventh Baronets represented Preston. The eighth Baronet assumed the additional surname of Bold. The ninth Baronet resumed in 1862 by Royal licence the ancient family surname of de Hoghton.
Document 10: Roborough Castle: Roborough Castle is an Iron Age enclosure or hill fort situated close to Lynton in Devon, England. The fort is situated on the North East edge of a Hillside forming a promontory above a tributary to the East Lyn River known as Hoaroak Water at approx 320 Metres above Sea Level.
Document 11: William Stanley, 3rd Baron Monteagle: William Stanley, 3rd Baron Monteagle (1528–1581), of Hornby Castle, Lancashire, was an English politician.
Document 12: William Parker, 4th Baron Monteagle: William Parker, 13th Baron Morley, 4th Baron Monteagle (15751 July 1622) was an English peer, best known for his role in the discovery of the Gunpowder Plot. In 1605 Parker was due to attend the opening of Parliament. He was a member of the House of Lords as Lord Monteagle, the title on his mother's side. He received a letter: it appears that someone, presumably a fellow Catholic, was afraid he would be blown up. The so-called Monteagle letter survives in the National Archives (SP 14/216/2), but its origin remains mysterious.
Document 13: Baron Stanley of Alderley: Baron Stanley of Alderley, in the County of Chester, is a title in the Peerage of the United Kingdom. It was created in 1839 for the politician and landowner Sir John Stanley, 7th Baronet. Upon his death in 1850, he was succeeded as 2nd Baron Stanley of Alderley and 8th Baronet of Alderley Hall by his son Edward, who was a prominent Liberal politician and notably served as President of the Board of Trade, Postmaster General and had in 1848 been created Baron Eddisbury, of Winnington in the County Palatine of Chester, in his own right. His wife Henrietta was a prominent campaigner for women's education. After his death, the Stanley of Alderley and Eddisbury baronies remained united; most holders have since chosen to be known as "Lord Stanley of Alderley". The 3rd Baron Stanley of Alderley had a career in the Diplomatic Service; as he was childless he was succeeded by his younger brother, the 4th Baron. He was Liberal Member of Parliament for Oldham. In 1909, the 4th Baron Stanley of Alderley acquired a further title when he succeeded his first cousin once removed, the Earl of Sheffield, according to a special remainder and thus inherited the title of 4th Baron Sheffield. After his death the titles passed to his son, the 5th Baron Stanley of Alderley. He was Liberal Member of Parliament for Eddisbury and also served as Governor of Victoria. His eldest son, the 6th Baron Stanley of Alderley, sold the family seat of Alderley Hall in 1938. He was married four times, the second time to Sylvia Ashley. On his death the titles passed to his younger brother, who preferred to be known as Lord Sheffield. He only held the titles for three months. s of 2013 the titles are held by the latter's cousin, the 9th Baron Stanley of Alderley, who succeeded his father in that year. He is the grandson of the Hon. Oliver Hugh Stanley, youngest son of the 4th Baron.
Document 14: Castletown, Sunderland: Castletown is a small village of Sunderland in Tyne and Wear commonly visited by tourists from around the world. A former mining community, the Hylton Colliery was located at the east end of the village, it lies north of the River Wear, and is near to Hylton Castle and Washington. At Hylton Riverside, on the eastern fringe of Castletown, there is a large retail park hosting stores such as Matalan, Costa Coffee, Aldi and Pets at Home, Premier Inn and a DW Sports Fitness gym. There are currently on going talks and plans to transform this retail park into a more modern and high-end park hosting a range of designer stores such as Farfetch, Apple and Waitrose to project the vision of this luxurious community. There is also plans to build a large 13-screen Odeon Cinema. Along with the range of retail establishments there is also a wide range of restaurants in the village such as McDonald's, KFC and Solo Pizza (formerly known as Mario's Pizza).
Document 15: Carlisle Castle: Carlisle Castle is situated in Carlisle, in the English county of Cumbria, near the ruins of Hadrian's Wall. The castle is over 900 years old and has been the scene of many historical episodes in British history. Given the proximity of Carlisle to the border between England and Scotland, it has been the centre of many wars and invasions. Today the castle is managed by English Heritage and is open to the public. The castle until recently was the administrative headquarters of the former King's Own Royal Border Regiment now county headquarters to the Duke of Lancaster's Regiment and a museum to the regiment is within the castle walls.
ground_truth: the Lune Valley