There is a local paper which publishes personal requests like your one.
I think it is: www.iomtoday.co.im/
If wrong someone will correct me!

If you join the IOM Family History Society they will publish your request in their quarterly magazine. See contact details at: www.iomfhs.im/

You need to follow the family in the IOM up to as recently as you can so that you have names and dates to ask about their descendants.

I meant to say in my last posting that in the 1901 census the age of John J, the youngest child, was 3 months.

I couldn't find most of the family in the 1911 census. Could the older members of the family have left the IOM before this census? These were the youngest two children, still at Ballasloe, Maughold, Isle of Man.
Household:
Jane Corkill Head Widow Female, Farming, 82, 1829 Isle of Man b.Andreas
Margaret Corkill Granddaughter Female, School, 12, 1899 Isle of Man b.Maughold
John James Corkill Grandson Male, School, 10, 1901 Isle of Man b.Maughold.
Ref. RG14; 635; district 14/1

Sue