Question: The Lands of Cocklebie or Cocklebee formed an estate possessing a common border with many estates, including which lay within the feudal Baillerie of Cunninghame, near Stewarton, now East Ayrshire, Scotland?

Context paragraphs:
Barony of Ladyland: The Barony of Ladyland was in the old feudal Baillerie of Cunninghame, near Kilbirnie in what is now North Ayrshire, Scotland.

Lands of Cocklebie: The Lands of Cocklebie or Cocklebee formed an estate possessing a common border with the estates of Lainshaw, the Corsehill, and the town of Stewarton, East Ayrshire, Parish of Stewarton, Scotland.

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.

Kirkwood Estate, East Ayrshire: The Lands of Kirkwood (NS3947) formed a small estate in the Parish of Stewarton, East Ayrshire lying between Stewarton and Dunlop, which in 1678 became part of the lands of Lainshaw, known as the Lainshaw, Kirkwood and Bridgehouse Estate.  Kirkwood was anciently known as Bloak Cunninghame.  Kirkwood remains as a farm in 2010.

Clonbeith Castle: The Castle of Clonbeith is in the old feudal Baillerie of Cunninghame, near Auchentiber, on a sideroad off the B778, in what is now North Ayrshire, Scotland.

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.

Barony of Peacockbank: The Barony of Peacockbank was in the old feudal Baillerie of Cunninghame, near Stewarton in what is now East Ayrshire, Scotland.

Castle and Barony of Robertland: The Castle and Barony of Robertland (NS 4428 4693) is located near Stewarton, off the B769 road, in the old district of Cunninghame, Parish of Stewarton, and now part of East Ayrshire, Scotland.

Barony of Bonshaw: The Barony of Bonshaw, previously known as Bollingshaw, was in the old feudal Baillerie of Cunninghame, near Stewarton in what is now North Ayrshire, Scotland.

The Lands of Lochridge: The Lochridge estate was in the old feudal Baillerie of Cunninghame, near Stewarton in what is now East Ayrshire, Scotland.

Supporting paragraphs: Lands of Cocklebie Barony and Castle of Corsehill
Answer: Barony and castle of Corsehill