I search the IFHF's online database @ ROOTSIRELAND.IE. It has abt 19 million B/M/D and other records for MOST Irish counties. Records before 1863 are increasingly sparse and al most non-existant prior to 1800. Many early B/M/D events weren't recorded, or the records didn't survive.
For Henry Marsh B 1888 (exact), Co. Kildare, with a father forenamed George, mother Emma, I found 1 record.
For Ida or Mary Marsh B 1889 ditto, I found 0 records.
For Clara Marsh B 1886 ditto, I found 0 records.
A view of Henry's detailed record (usually at a small fee) should give the parents' names and other genealogical info.