In the 1861 census when Robert Corkill (aged 40) & Mary Clague (aged 43) were with Robert's parents John (aged 64 farmer) & Elinor (aged 67) the farm was Booilevelt, Maughold, according to Tom Corteen (mistranscribed by Findmypast, previous message).

Their children's bapts in the Maughold register:
Anne John Corkhill/ Eleanor Cowin Parish Church 8 Sep 1816
*Robert John Corkill/ Elinor Cown Parish Church 4 Nov 1821*
Elinor John Corkill/ Elinor Cown Parish Church 2 May 1824
John John Corkill/ Elinor Cown Parish Church 22 Oct 1826
Thomas John Corkill/ Elinor Cown Parish Church 14 Jun 1829, Twin of William
William John Corkill/ Elinor Cown Parish Church 14 Jun 1829, Twin of Thomas
James John Corkill/ Elinor Cown Parish Church 12 Feb 1832
Daniel John Corkill/ Elinor Cown Parish Church 10 May 1834

John Corkhill & Elinor Cowin married in Maughold on 4 Nov 1815.

I wouldn't worry about the spelling of Corkill/Corkhill, because the name
was often spelt either way.

Father Robert Corkill was a Miner & Rural Constable in 1871, and a farmer in 1881:

Robert CORKILL Head Married M 59 1822 Farmer Maughold, Isle of Man
Mary CORKILL Wife Married F 60 1821 Farmer's Wife Maughold, Isle of Man [CLAGUE]
Margaret CORKILL Daughter Single F 23 1858 Dairymaid (Indoor)Maughold, Isle
of Man
Judith CORKILL Daughter Single F 19 1862 Dressmaker Maughold, Isle of Man
Piece: 5600
Folio: 33
Page: 10
Registration District: Isle of Man
Civil Parish: Maughold
Address: Maugher-E-Kew House, Maughold

The 1891 census is interesting (Findmypast Household transcription):
Name Relation Condition Se x Age Birth Year Occupation Where born
CORKILL, Robert Head Widower M 69 1822 Living On Own Means Maughold, Isle of Man
CORKILL, Margaret Daughter Single F 32 1859 House Keeper Maughold, Isle of Man
CORKILL, Edward Grandson M 7 1884 Scholar Douglas, Isle of Man
CORKILL, Mary A Granddaughter F 6 1885 Scholar Douglas, Isle of Man
Piece: 4684
Folio: 167
Page: 2
Registration District: Isle of Man
Civil Parish: Maughold
Address: Hibernian Cottage, Maughold, Sulby
County: Isle of Man

Brian Lawson's births index has Edward's children as:
Edward CORKILL [born] 11 Jun 1883 Dou [father] Edward CORKILL [mother] Elizabeth GAWNE
Mary Ann CORKILL 12 Jun 1884 Dou Edward CORKILL Elizabeth GAWNE
Robert James CORKILL 15 Jul 1885 Dou Edward CORKILL Elizabeth GAWNE
Alice Florence CORKILL 25 May 1893 Dou Edward CORKILL, Alice Jemima STERLING
Cecil Starling CORKILL 7 Dec 1900 Dou Edward CORKILL Alice Jemima STARLING

In 1891 Edward Corkill is recorded as a Widower M 37 1854 Baker b. Lonan, Isle of Man 13, Church Street, Conchan, Douglas.
[Piece: 4687, Folio: 40, Page: 6]

BL has his first wife Elizabeth Gawne's burial as CORKILL, Elizabeth 27 Braddan 13 Aug 1885. [Robert James CORKILL was born 15 July 1885.]

1901 census:
Name Relation Condition Se x Age Birth Year Occupation Where born
CORKILL, Edward Head Married M 47 1854 Baker Laxey Lonan, Isle of Man
CORKILL, Alice Jemima Wife Married F 34 1867 England
CORKILL, Edward Son Single M 17 1884 Baker's Apprentice Douglas, Isle of Man
CORKILL, Mary Ann Daughter Single F 16 1885 Douglas, Isle of Man
CORKILL, Alice Florence Daughter Single F 7 1894 Douglas, Isle of Man
CORKILL, Cecil Starling Son Single M 0 (3 MOS) 1901 Douglas, Isle of Man
CHRISTIAN, Elsby Servant Single F 15 1886 Douglas, Isle of Man
Piece: 5305
Folio: 43
Page: 1
Registration District: Isle of Man
Civil Parish: Onchan
Municipal Borough:
Address: 13, Church Street, Onchan, Douglas
County: Isle of Man

Sue