Please note that although she was called Isabella or Ann Isabella or Isabella Ann at the bapts of her children, she was actually baptised as Bel Ann daur of William Corkill & Ann Quilliam bapt Maughold Parish Church 5 Apr 1835.

I'm not sure which Catherine you are asking about? Catherine Christian? Or daughter of William Corkill & Ann Quilliam?

Did you look up the marriage of Hugh Wade married in 1836 Parish German to Catherine
Christian to see whether any further details were given?

Re. "John James Wade (JJW) was born Sep 4th 1859 in Lonan" please note he was baptised at that date, not born. Some children were bapt years after birth.
The best way of finding out what happened to someone at that time is through censuses and then the parish registers/civil regt., if he isn't in the burials. He wasn't with the family in 1881 so look for him at FamilySearch.org.
See also Brian Lawson's indexes to see whether he stayed in the IOM or when he left. e.g.: www.iomfhs.im/lawsons/census/census_index.html
www.iomfhs.im/lawsons/births/z-indx-w.html

In 1871 JJ is aged 11 with the family in Dhoon, where his birthplace is given as Maughold, the same as the other children.

In a quick look at 1901 the closest JJ appears to be a mason living in Douglas, but aged 49 and b.Foxdale - married to the Annie/Elizabeth Craine with a mass of children in the birth regt index.

Sue