Hi using this site which is pay per view. But can do searches of the index for free.
http://kilkenny.brsgenealogy.com/quis.php?page=0&prevStartQuery=0I was able to find in the index a marriage of a
Catherine Woods 1852 Callan Roman Catholic Parish Kilkenny
And there is also a marriage for
Edward Murphy 1852 Callan Roman Catholic Parish Kilkenny.
So this looks most likely to be your couple's marriage. I think it costs 5 euro to view the original parish marriage record.
Also on same website if you select the Births and Callan RC parish with father name Edward Murphy.
There is a number of possible children.
I found one birth on IGI
Michael Murphy 30-MAY-1866 Parents: Edmond Murphy & Catherine Woods Callan, Kilkenny, Ireland.
From my own family research i have found Edward/Edmond/Edmund were often used by the same man.
Ger