According to the 1866 O'Connor-Murphy marriage record you have, she was from a townland which is now called Aghacarrible, about which you can see more info here:
https://www.townlands.ie/kerry/corkaguiny/kinard/kinard/aghacarrible/.
You'll notice a link near the bottom on that page which can take you to the Griffith's Valuation records for the townland (mid-1800's), and if you follow that link you can see that only one Murphy tenant was listed then, a Thomas Murphy, and that's the name given for Catherine's father in the marriage record you have.
In case you have any trouble finding the link, here's what it takes you to:
http://www.askaboutireland.ie/griffith-valuation/index.xml?action=doNam…
You can move around in the map located at that site, which will allow you to see the town of Dingle off to the west.
The same mariage record says that James O'Connor was from West Doonties (also called Doonties West), about which you can see more info here:
https://www.townlands.ie/kerry/corkaguiny/minard/minard/doonties-west/
As you can see from the map again, Doonties West is not very far away to the south of Aghacarrible, but the link to Griffith's Valuation doesn't show any results fr that townland. You can also check the 1901 census records there, but in this case there don't appear to have been any O'Connor families left in the townland by then.
Both townlands are located in the Catholic parish of Dingle, and the parish records which are available online there go back to the 1820's, so you should be able to locate family records there by looking through the register. Here's a link to those records:
https://registers.nli.ie/parishes/0665
