Co. Kerry church records are on the websitewww.irishgenealogy.ie
(this one is free) You will have to pass on Co. Clare.
I would suggest that they may not have married in Ireland as they are from different counties, usually people met and married in their own parish's or at least close by, meeting through family etc. Townies could meet and belong to several parish same with people visiting in a town. Co. Clare and Co. Kerry are across the water from each other
or you would need to travel through Limerick. Not saying it can't be done.
I would try the Foundation anyway it will cost you 5Euro to find out if they married in Ireland. That is $6.59 US today.
Which has to be the best exchange rate in years.
Here are a couple more free resources:www.censusfinder.com
+ County (good info but depends on county)www.from-ireland.netwww.genealogy.nationalarchives.ie
where you will find
the Tithe records, 1820-1839. You will probably find
John J. O'Connors grandparents, as too early for his father.
Same would apply for Julia.
Good luck. Annette