Hello Ann,
Marriage in Maughold parish register:
10 Nov 1870
Thomas KAIGHIN, Full age, Bachelor, Mariner, Maughold, [father] Thomas Kaighin, Mariner, and
Margaret KANEEN, Full age, Spinster, Maughold, [father] John Kaneen, Labourer.
In the 1861 census there is a John Kaneen at 54 Maughold St in Ramsey as a Wid., 50, stone quarrier b.Braddan, with son Philip 23 also stone quarrier, b.Lonan, son's wife Sarah 21 b.Braddan, daur Margart 13 domestic assistant b.Lonan, daur Isabella 9 scholar b.Lonan, daur Catharine 7 scholar b.Lonan, son Thomas A. 4 scholar b.Lonan, grandson Philip A. 1 b.Braddan.
Thomas Albert Kaneen was bapt 13 April 1856 Lonan, the son of John K & Margaret Caine [IGI]
There is a marriage between John Kaneen and Margaret Cain in Lonan on 18 Jan 1834.
Margaret's burial was probably in Ramsey (Ramsey is not in Brian Lawson's burial index).
Apart from Thomas Albert, the only bapts I could find for children of this couple were:
Thomas on 19 APR 1846 Lonan [IGI has Death:16 NOV 1854] KANEEN, Thomas 8y 6m Lon 16 Nov 1854 [BL index]
Catharine 23 April 1854 Lonan.
In 1851 they were in Lonan at "Chlyclogh". [Under Kneen in the Ancestry index, but correctly Kaneen in Brian Lawson's index online.]
John Kaneen 39 Farmer of 15 acres b.Braddan, wife Margaret 37 b.Lonan, and children Jane 17, John 14, Phillip 9, Thomas 6 scholar, Margreat 3, all b.Lonan.
This looks like the family you are looking for.
Sue