"The surname McCorquodale is an Anglicisation of the Gaelic Mac Thorcadail (or MacCorcadail), meaning "son of Torcadal". The Gaelic personal name Torcadal is of Norse origin and means "Thor's kettle"(a more romanticised meaning for the name has been given as "cauldron of the thunder spirit"). In 1881, the surname was most frequent in lands which constitute the current Paisley postcode area.This, more or less, corresponds with the Clan McCorquodale's traditional lands in Argyll. The clans Macleod of the Lewes and Gunn claim variations of this surname as septs of theirs. Septs are families which claimed allegiance to stronger chief and his clan, or that lived upon lands controlled by a stronger chief and his clan. The majority of those McCorquodales recorded in 1881 were located far from the traditional lands of these two clans."

This is taken directly from Wikipedia name McCorquodale, as you can see it is almost certainly just a different version of McCorkell, traditionally the name has been associated with Clan Gunn. The name is also claimed by Clan McLeod.

Clan McLeod claim descent from Olaf the Black King of Man and the Isles, they also claim McCorkell and various spellings as a Sept. Now according to Wikipedia the claims of descent from Olaf the Black date from the 1600's , non the less it may be the connection some have been seeking between McCorkell and various spellings, traditional Scottish names and Corkill and various spellings said to originate in the Isle of Man. Both have the common ancestor Olaf the Black.

I admit the link is tenuous to say the least and it is very doubtful after also 800 years that any connection can be drawn, but it is a possibility.

CORKHILL, contracted from Mac-Pór-Ketill. ^§ þórr the God of thunder, the keeper of the hammer, the destroyer of evil spirits,the son of mother earth, was the favourite Deity of the North. Cumming reads ÞURKETIL on a cross in Kirk Braddan, but Dr. Vigfusson makes it ÞURLIBR.**

In the annals of Roger de Hoveden we read under date A.D. 1044 that 'the noble Matron Gunhilda . . . with her two sons, Hemming and TURKILL, was expelled from England.'*

Bishop THORGIL took part in Haco's expedition in A.D. 1263.

Both ÞORKELL and ÞORGILs are common in the Landnámabóc, and Flateyjarbóc.

'Donald MACCORKYLL was Rector of the Church of St. Mary of Balylagh in 1408,'⁺ and 'Edward CORKHILL one of the Deemsters of Mann' in 1532.⁺⁺,

Compare (Gaelic) MACTORQUIL, MACCORQUODALE.

MACCORKYLL [1408], MACCORKILL [1430], MCCORKELL, CORKELL [1511], CORKHILL [1532], CURRELL [1632], CORKILL [1650], CORKIL [1652].

Ballaugh, Maughold, German, Lezayre, Michael, Santon, Andreas (c), elsewhere (u)

§ See CASTELL.

** Manx Note Book, No. 9, p. 16.

* Manx Society, Vol. IV., P. 37.

+ Manx Society, Vol. IV., P. 247.

++ Statute Law Book, p. 29.

DECLARATION OF THE BISHOP, ABBOT, AND CLERGY AGAINST THE CLAIM OF SIR STEPHEN LESTROP.

A.D. 1408.

JOHN, by divine permission, bishop of Sodor, Richard, abbot of the monastery of the blessed Mary the Virgin, of Russyn, within the Island of Mann, Patrick, archdeacon of Mann, Cristina, prioress of Dowglas, Patrick, rector of the church of St. Bridget, Donald McCorkyll, rector of the church of St. Mary of Balylagh, Donnald, vicar of the church of St. Patrick of Zorba, Morice, vicar of Hollm, Michael the Canon, vicar of the church of the Holy Trinity of Ayre, William, vicar of the church of the Holy Trinity in the fields, Richard Byderosse, vicar of the church of St. Lupus, Richard, vicar of the church of St. Cantanus, Fyntt Mc Kee, John McCrystyn, Justices of the Island afore said, William Skerffe, William McCowyn, William de Innow, Patrick McThoryngt, Michael McSkerffe, Andrew McGray, John Andrew, Gybbon McKane, Patrick McKane, Gilcrist McDowytt, Patrick Thomlyngson, Gybbon McEssas, Gybbon McKane, William McCrystyn, Martyn Mc Oct', Gilcrist McNelle, Moldonny McBrow, Moldonny Mc Croyn, John McKyg, John Markeson, Dilnow McCorkyll, Gybbon McFalle, Jankyn McScaly and Scymynd McKee, Donnald the clerk, to all the faithful in Christ who may hereafter inspect or hear these present letters, eternal salvation in the Lord. Since, as it is said, Stephen Lestrop, knight, has of late asserted, that we, the aforesaid bishop, abbot, and all others as above, have acknowledged him, Stephen Lestropp, as heir of William Lestroppe, his brother, deceased, formerly lord of Mann, and delivered to the; said Stephen as heir of the said William Lestroppe the aforesaid Island, with all and singular its lordships, rents, services, Franchises, royalties, together with all other its appurtenances whatsoever, and wheresoever, to the said Island belonging, to Have and to Hold to him and his heirs forever, at a Court held at Tynwald Hill within the Island aforesaid, on the day, etc., in the 15th year of the reign of King Richard, the second since the conquest of England, together with all offices in the aforesaid Island, with the advantages aforesaid, and that we have again received the said offices at Tynwald to hold from the same Stephen. And because it is desirable, that every great falsehood and blasphemy utterly devoid of truth, should be defaced from the hearts of the faithful, and the testimony of truth proclaimed. Know all men that we the aforesaid bishop, abbot, and others aforesaid, etc., have never received or acknowledged the aforesaid Stephen to be heir of the said William, in, or at, the aforesaid Island, with all and singular, its lordships, as above recited, etc.nor have we delivered any offices or lands or tenements in the sad, Island to the same Stephen, as heir of the said William, nor received or again received the same from the same Stephen, to hold at any time. And we signify, testify, and make known all these things, to all and singular whom it may concern. For a true and public testimony whereof, we have caused our seals to be affixed to these presents, in a full Court held at Tynwald Hill, in the aforesaid Island, on Monday next before the Feast of the Nativity of St. John the Baptist, in the year of our Lord, etc., but in the ninth year of the reign of our most dread king and lord, Henry, the fourth since the conquest of England. Dated the day, place, and year abovesaid, etc.*

# Twelve seal-ties remain attached to this document, with fragments of sixteen seals in red wax, the greater part impressed with initial letters.

http://www.isle-of-man.com/manxnotebook/manxsoc/msvol04/v2p247.htm

BOND TO GLENORCHY

Duncan M’Olcallum, V’ane V yntere, Gillecrist M’Corkill V Inteir, Johne M’Corkill V. Ynteir, Torkill M’Ane V Inteir, Johne Glas M’Olvorie V. Inteir, and Johne M’Ewin V.Oldouuycht V Inter

. . .foresamekill as our predecessouris for the tyme happinit to commit slauchter upon wmquhile [the late] Sir Colyne Campbell of Glenurquhay, knycht in the minority and less aige of Kyng James the First in the cruel slauchter of ane fostir brothir of the said Sir Colyn callit John M’Gillenlag for sythment and recompens of the said slauchtir our saidis predecessouris to eschew the hatrint and pirsute of the said Sir Colyn deliverit to hym ane of the principile committaris of the said slaughter callit Johne Boy M’Ynteir to be pwnesit at the will of the said Sir Colyne. And may rouer that thai and thair posterite mycht remaine in favouris of the said Sir Colyne electit and tuke hymn and his airis for thair chieffis and masteris … and ….. gev …. to the said Colyn and his airis thair calpis … quhilkis calpis the said Sir Colyne Sir Duncan Campbell of Glenurquhay knycht his sone that decessit at Flowdown and all utheris lardis of Glenurquhay sen syne tuk lirk wp: the Said Clan Teir of new ratify the said Bond in favour of Colyne now of Glenurquhay. Dated at the castle of Glenurquhaybefore witnesses Alexander Menzis of Rannoch, Johne M’Conachy Gregour, John M’Conachy Roy, and Sir Malcum M"Gillequhonill

4 June 1556