Statutory registration of RC marriages started in Ireland in 1864. You can view a copy of the 1882 marriage on-line on the GRONI site for £2, or purchase a paper copy for £15. Be aware that Irish civil marriage certificates do not records the couples mothers names, only the fathers.
For the parents marriage, which is pre 1864, you need to rely on church records. Drumgooland is split into 2 RC parishes. I would need the townland name to be able to say which you need. The records for Drumgooland Upper start in 1827 and Drumgooland Lower in 1832. There’s a copy of both in PRONI in Belfast and in the National Library in Dublin. They are not on-line and a personal visit is normally required to access them. The respective parish priests have the originals (or should have). You can see where other copies or transcripts are held, using this link:
Be aware that RC marriage records for the mid 1800s are usually pretty short on detail. Often all you get are the couples names, the date and their 2 witnesses. Nothing more. They may also be written in Latin.
Tradition was to marry in the bride’s church (assuming her husband came from a different parish). So Mary King was probably baptised in the church where she married. So you may just find her baptism, and from that her parents names. I’d look for James McEvoy’s baptism there too, but if you don’t find it, try adjacent parishes.