I searched the Irish Family History Foundation's database. It contains 12,000,000 surviving rcds for abt 65% of Irish counties. Rcds are increasingly sparse B4 1840, rare B4 1800. My search is limited to Co. Armagh.
For Jane Warnock B 1847 +/- 4 yrs, I found 0 B rcds.
For Henry Warnock B 1845 ditto, ditto.
For John Warnock M 1843 +/- 4 yrs, I found 0 M rcds.
For Matthew Hicks M 1863 +/- 4 yrs, ditto.
For Susan Warnock M ditto, I found 1 M rcd in 1868. But, this is outside of your time line.
Looks like these events weren't rcd'd, or the rcds didn't survive.
Google the Foundation's name to lead you to this database. Register, opt to be notified as rcds are added and browse. Pls post your search results to my genforum msg.