According to at least one online tree- Agnes Ann (Beggs) McCulloch, mother Sarah Elliott, died 28 Jan.1879 Saltcoats, Ayrshire (death certificate should list parents)
Husband Hugh McCulloch died 29 Jan.1873 ‘Comber, Ireland’ but attached newspaper obituary is for a teacher named Hugh McCullough so date of death incorrect.
1881- Stevenson, Ayrshire
1. Sarah (1860-1883 Ayrshire)
2. William (1862)
3. Samuel (30 June 1864)- this is un-named son born 1864
4. Agnes (1866)
5. Margaret (1868)
6. Son (1871)
7. John (1872)
Tree #2 lists Hugh’s parents as William & Margaret, with Hugh died 26 Feb.1873 East Ayrshire
Tree#3 lists Agnes’ parents as James Beggs & Sarah Elliott
Tree #4 has daughter Jane m.(1880) Edward McBride in Belfast (very, very unlikely)
Would suggest checking Scottish records for 1881 census & deaths of Hugh & Agnes before trying to look at Irish records