Question: What lands were part of the Lordship of Giffen, and the Barony of Hessilhead, within the Baillerie of Cunninghame and the Parish of Beith, who also had a 15th-century castle were in the parish of Beith in the former District of Cunninghame?

Context paragraphs:
Hessilhead Loch: Hessilhead Loch or Hazelhead Loch was situated in a low-lying area near the old Castle of Hessilhead in the Parish of Beith, North Ayrshire, Scotland.  The old loch, used in the defence of the castle, was probably infilled when the castle ruins were landscaped in the 19th century.

Hessilhead: Hessilhead is in Beith, North Ayrshire, Scotland.  Hessilhead used to be called Hazlehead or Hasslehead.  The lands were part of the Lordship of Giffen, and the Barony of Hessilhead, within the Baillerie of Cunninghame and the Parish of Beith.  The castle was situated at grid reference [ NS380532] .

Greenhills, North Ayrshire: Greenhills is a small village or hamlet in North Ayrshire, Parish of Beith, Scotland.  It lies between the settlements of Barrmill and Burnhouse on a crossroads of the B706 and the lanes to Nettlehirst and Tandlehill via Thirdpart.  It is named after the 'Green Hill' an artificial mound, a Moot, Law or Justice hill that once stood here.  The settlement lay within the old Barony of Giffen; the castle no longer exists.  The village lies within Barrmill and District Community Association's area and is also covered by Beith Community Council.

Barony of Aiket: The Barony of Aiket with its castle, lay within the old feudal bailiary of Cunninghame.  The barony lands equate to the extant Parish of Dunlop, East Ayrshire, Scotland.

Barony and Castle of Giffen: The Barony of Giffen and its associated 15th-century castle were in the parish of Beith in the former District of Cunninghame, now North Ayrshire.  The site may be spelled Giffen or Giffin and lay within the Lordship of Giffin, which included the Baronies of Giffen, Trearne, Hessilhead, Broadstone, Roughwood and Ramshead; valued at £3788 9s 10d.  The Barony of Giffen comprised a number of properties, including Greenhills, Thirdpart, Drumbuie, Nettlehirst and Balgray, covering about half of the parish of Beith.  Giffen was a hundred merk land, separated from the Barony of Beith, a forty-pound land, by the Powgree Burn which rises on Cuff hill.  The Lugton Water or the Bungle Burn running through Burnhouse may have been the Giffen barony boundary with that of the adjacent barony and lands of Aiket castle.

Castleknock (barony): The barony of Castleknock (Irish: "Caisleán Cnucha" meaning "Cnucha's Castle") is a feudal title of nobility and one of the baronies of Ireland.  Originally part of the Lordship of Meath, it was then constituted as part of the old county of Dublin.  Today, it lies in the modern county of Fingal.  The barony was created by Hugh de Lacy, Lord of Meath as his own feudal barony, held directly from himself "in capite".  His vassals were commonly called "De Lacy's Barons".  The first vassal was Hugh Tyrrel.  At the heart of the barony is the civil parish of the same name - Castleknock - which is one of eight civil parishes in the barony.  In the townland of Castleknock itself is the location of the eponymous "Cnucha's Castle" - Castleknock Castle.  The town with the biggest population in the barony is Blanchardstown.

Hill of Beith Castle: The old Barony and castle, fortalice, or tower house of Hill of Beith lay in the feudal Regality of Kilwinning, within the Baillerie of Cunninghame, and the Sherrifdom of Ayr, now the Parish of Beith, North Ayrshire, Scotland.

Eglinton Country Park: Eglinton Country Park is located in the grounds of the old Eglinton Castle estate, Kilwinning, North Ayrshire, Scotland (map reference NS 3227 4220).  Eglinton Park is situated in the parish of Kilwinning, part of the former district of Cunninghame, and covers an area of 400 hectares (98 acre of which are woodland).  The central iconic feature of the country park is the ruined Eglinton Castle, once home to the Eglinton family and later the Montgomeries, Earls of Eglinton and chiefs of the Clan Montgomery.  Eglinton Country Park is managed and maintained by North Ayrshire Council and its Ranger Service.

The Lands of Roughwood: Roughwood once Ruchwood is a farm, originally a estate, possessing at one time a small tower castle.  Roughwood is situated near to the town of Beith in North Ayrshire, Scotland; the lands lay within the old Lordship of Giffen.

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.

Supporting paragraphs: Barony and Castle of Giffen Hessilhead
Answer: Hessilhead