Hi Laura
The record of the marriage is on irishgenealogy.ie/ as you probably know.
No parents' names but witnesses Timothy Murphy & John Carroll; parish St Finbarrs.
The Tithe Applotments (on above site) have a Jeremiah Murphy in St Finbars Cork 1833 so you can see where they lived then (Dudoyne).
Griffiths Valuation has 4 Jeremiah Murphys in St Finbars in 1852 (same site).
I couldn't find them on ancestry!
I'm afraid there are too many births on rootsireland.ie/for both of them to know which is right.
Col