For Mary Fogarty M 1851 +/- 1 yr, Co. Kilkenny, I found 2 rcds: 1 in Tullaroan RC parish.
For James Broderick M ditto, I found ditto. These are highly likely to be for your ancestors. A view of the detailed rcds should confirm this. If so, the rcds SHOULD list their parents' names as well as lesser info. This is useful in identifying and/or validating earlier B/M rcds.
For Mary Fogarty B 1817 +/- 4 yrs, Co. Kilkenny, with the father's forename unknown, I found 8 rcds: 1813, 1814, 1815, 1816, 1818, 1819, and 2-1820. Father's respective forenames are James, Edmund, William, John, Patrick, Michael, William, and Patrick.
For James Broderick B 1813 ditto, I found 6 rcds: 1811, 1812, 1814, 1815, 1816, and 1817. Father's respective forenames were John, William, Edmund, Thomas, Michael, and Stephen.
This search was fairly successful. Hope it helps. Good luck.