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, including Sligo. Records before 1863 are increasingly sparse - almost none before 1800.
For Cat(herine) Wallace B 1837 (exact), Co. Sligo, with a father forenamed James and mother Mar(y), I found 1 record. A view of the detailed record (at a small fee) SHOULD show other info.
For a James Wallace and Mar(y) Warren M 1832 +/- 5 yrs, Co. Sligo, I found 0 records.