I spotted 4 siblings for your Mary Jane on the Irish baptism records on Ancestry:
Catharine McCudden bapt 28.12.1842
James McCudden 11.7.1848 (sponsor Ellen McSorley)
Margaret McCudden 23.6.1849
Elizabeth McCudden 5.3.1854
All baptised in the parish of the city of Armagh.
There’s a marriage for a Catharine McCudden, daughter of Patrick, that might be this family. She married Patrick Hagan on 10.11.1867 at Armagh RC chapel. Her address was Corr and her father was a farmer.
Griffiths Valuation for 1864 lists a Patrick McCudden in Corr & Aughentarragh. He had plot 36 which was a 4 acre farm. That may be your family.
Patrick McCudden senior died 11.12.1880 aged 68. His wife was still alive then. The farm passed to his son Patrick, who married Mary Corrigan on 15.4.1888 in Armagh Cathedral. Mary had died on 14.7.1893, aged 33. Their marriage:
This is Patrick jnr and family in 1901:
Probate abstract from the PRONI wills site:
Administration of the Estate of Patrick McCudden late of Corr Aughanatarragh County Armagh Farmer who died 28 December 1914 granted at Armagh to Patrick McCudden Farmer