1841 Maughold census [ages rounded]:
2 10 49 Pt of Ballakilley Robert CORKILL 30 Iron ore miner Isle of Man

2 10 49 Pt of Ballakilley Catharine CORKILL 25 Isle of Man

2 10 49 Pt of Ballakilley Joseph CORKILL 5 Isle of Man

2 10 49 Pt of Ballakilley Robert CORKILL 5 Isle of Man

2 10 49 Pt of Ballakilley William CORKILL 2 Isle of Man

2 11 49 Pt of Ballakilley Thomas CORKILL 6 m Isle of Man

Joseph Illegitimate son of Robert Corkill & Cath Kermeen bapt 13 Jan 1833.
Robert Corkill & Catherine Kermeen married Maughold 30 Mar 1833.
Robert son of Robert Corkill & Cath Kermeen bapt 3 Aug 1834.

There is also:

3 4 13 Tallooqueen Philip QUAYLE 70 Lab Isle of Man

3 4 13 Tallooqueen Isabella QUAYLE 60 Isle of Man

3 4 13 Tallooqueen William QUAYLE 35 Isle of Man

3 4 13 Tallooqueen John QUAYLE 30 Isle of Man

3 4 13 Tallooqueen Robert CORKILL 9 Isle of Man

Perhaps someone with access to the 1851 census can identify this Robert aged 9 in 1841 which is closer to the age you are looking for, with his parents.

Sue