For David Carey B 1845 +/- 4 yrs, Co. Tipperary, with the father's forename unknown, I found 0 rcds. Expanding the search to all of Ireland (26 of 32 Irish counties) and the same range of years, I found just 3 records: 1841 Kilkenny, 1841 Limerick, and 1849 Cork. None had a father forenamed David.
These results infer: 1) some of your info is wrong. 2) the rcd didn't survive. Or 3) The rcd hasn't been transcribed and put online yet. Note - a substantial portion of Co. Tipperary B/M/D rcds were withheld by the RC church. These are only available through the Tipperary Family History Research center at a substantial fee (regardless of the search results). Tred carefully.