Question: What's the present day English county of Skelton-in-Cleveland, recorded in the Domesday Book and site of a 12th-century castle?

Context paragraphs:
Craven in the Domesday Book: The extent of the medieval district of Craven, in the north of England is a matter of debate.  The name Craven is either pre-Celtic Britain, Britonnic or Romano-British in origin.  However, its usage continued following the ascendancy of the Anglo-Saxons and the Normans – as was demonstrated by its many appearances in the Domesday Book of 1086.  Places described as being "In Craven" in the Domesday Book fell later within the modern county of North Yorkshire, as well as neighbouring areas of West Yorkshire, Lancashire and Cumbria.  Usage of Craven in the Domesday Book is, therefore, circumstantial evidence of an extinct, British or Anglo-Saxon kingdom or subnational entity (such as a shire or earldom).

Manor of Hougun: The Manor of Hougun is the historic name for an area which now forms part of the county of Cumbria in north-west England.  Of the three most northern counties of England surveyed in the Domesday Book of 1086 (Northumbria, Durham and Cumbria), only the southern band of land in the south of Cumbria was recorded.  The westernmost entries for Cumbria, covering the Duddon and Furness Peninsulas are largely recorded as part of the "Manor of Hougun".  The entry in Domesday Book covering Hougun refers to the time (ca. 1060) when it was held by Tostig Godwinson, Earl of Northumbria.

Renfrew Castle: Renfrew Castle was situated at the royal burgh of Renfrew, Scotland, which is near the confluence of the River Clyde and the White Cart Water.  The original 12th-century castle was built by Walter fitz Alan, High Steward of Scotland, upon a river islet known as the King's Inch.  This was replaced in the 13th century with a new castle by the road to the Clyde ferry, which became a royal castle under King Robert II.  In the 15th century, the King's Inch site was rebuilt as Inch Castle by Sir John Ross.  Both castles were demolished in the 18th century and nothing remains above ground at either site.

Winton Domesday: The Winton Domesday or Liber Winton is a 12th-century English administrative document recording the landholdings in the city of Winchester together with their tenants and the rents and services due from them.  The city was not included in the surveys that produced Domesday Book in 1086.  The manuscript brings together the returns from two different "satellite" surveys.  The first was carried out for King Henry I in "c".  1110 (1103 x 1115) and covered the royal holdings in Winchester, describing conditions before and after the Conquest.  This part also draws on an earlier survey, now lost, made in "c".  1057, during the reign of Edward the Confessor.  The second survey, which covered the entire town, was done for Bishop Henry of Blois in 1148.

Domesday Book: Domesday Book ( or ; Latin: "Liber de Wintonia" "Book of Winchester") is a manuscript record of the "Great Survey" of much of England and parts of Wales completed in 1086 by order of King William the Conqueror.  The "Anglo-Saxon Chronicle" states:

Sudeley Castle: Sudeley Castle is located in the Cotswolds near Winchcombe, Gloucestershire, England.  The present structure was built in the 15th century and may have been on the site of a 12th-century castle.  The castle has a notable garden, which is designed and maintained to a very high standard.  The chapel, St. Mary's Sudeley, is the burial place of Queen Catherine Parr (1512–1548), the sixth wife of King Henry VIII, and contains her marble tomb.  Unusually for a castle chapel, St Mary's of Sudeley is part of the local parish of the Church of England.  Sudeley is also one of the few castles left in England that is still a residence.  As a result, the castle is only open to visitors on specific dates, and private family quarters are closed to the public.  It is a Grade I listed building, and recognised as an internationally important structure.

Wixoe: Wixoe is a village and civil parish in the St Edmundsbury district of Suffolk in eastern England.  Located on the northern bank of the River Stour, two miles south-east of Haverhill, in 2005 its population was 140.  It consists largely of Victorian cottages along a narrow lane.  There is a church of 12th-century origin, St Leonard's, much restored in the 1880s.  It was recorded in the Domesday Book, at 600 acres one of the smallest parishes in the hundred of Risbridge.  There are some 13 listed buildings, including a 19th-century bridge and a water mill.

Skelton-in-Cleveland: Skelton-in-Cleveland is a small town in the civil parish of Skelton and Brotton in North Yorkshire, England.  The local council, a unitary authority, is Redcar and Cleveland in the North East of England.  It is situated at the foot of the Cleveland Hills and about 10 mi east of Middlesbrough.  Skelton is made up of North Skelton, Skelton Green and New Skelton.  The first real mention of Skelton is in the "Domesday Book", which talks about taxes collected.  Skelton Castle was built in the 12th century by the

Peveril Castle: Peveril Castle (also Castleton Castle or Peak Castle) is a ruined 11th-century castle overlooking the village of Castleton in the English county of Derbyshire.  It was the main settlement (or "caput") of the feudal barony of William Peverel, known as the Honour of Peverel, and was founded some time between the Norman Conquest of 1066 and its first recorded mention in the Domesday Survey of 1086, by Peverel, who held lands in Nottinghamshire and Derbyshire as a tenant-in-chief of the king.  The town became the economic centre of the barony.  The castle has views across the Hope Valley and Cave Dale.

Abenhall: Abenhall is a small village in the English county of Gloucestershire, lying on the road between Mitcheldean and Flaxley in the Forest of Dean.  The parish includes the settlement of Plump Hill, which is actually more populous than Abenhall itself, and was once part of the Hundred of St Briavels (known as Dene at the time of the Domesday book in 1086).  Originally a mining and iron-making centre like much of the surrounding area, the village is notable for its 14th century Church of St Michael, which is built of local red sandstone and has ornate contemporary carvings relating to the Forest of Dean's principal industries.  These include a shield bearing the arms of the Freeminers on the west wall and a mid-15th century octagonal font, that has tools of miners and metalworkers incised on its sides.  Abenhall is a tiny, ancient village in a secluded quiet valley near Mitcheldean.  The parish includes the settlement of Plump Hill, on the Mitcheldean to Cinderford Road as it climbs into the high Forest.  Abenhall is on the Flaxley to Mitcheldean Road.  Originally a mining and iron making centre, it is notable for its 14th century Church of St Michael, which is built of local red sandstone and has excellent contemporary carvings relating to the Forest of Dean's industries.  These include a shield bearing the arms of the Freeminers on the west wall and the fabulous mid-15th century octagonal font, that has tools of miners and metalworkers incised on its sides.  In the west tower is a spectacular new window installed 14 April 2011 by stained glass artist Thomas Denny; presented by the current free miners of the Forest of Dean to represent their gratitude and present day continuation of the ancient local customs of coal, iron ore and stone mining.

Supporting paragraphs: Skelton-in-Cleveland Domesday Book
Answer: North Yorkshire