I search the IFHF's online database at ROOTSIRELAND.IE. It has abt 20 M church/civil/census/etc B/M/D records for MOST Irish counties. Records before 1863 become sparse - almost non-existant before 1800. Protestant records were the least likely to survive.
For Pat(rick) Lynch B 1834 +/- 4 yrs, Co. Roscommon, with a father forenamed Pat(rick), I found 1 record in 1837. A view of the detailed record (at a small fee) SHOULD show whether the exact date is August 28.