I know both Curraghkippaune and Kilcully very well indeed. I was up in Kilcully only two weeks ago. Several members of my family are buried in both graveyards. If you contact Cork Corporation, they will put you onto the Dept which deals with graves. I spoke about two years ago to the caretaker of Curraghkippaune, but as far as I remember, written records go back only to the 1930s. I was looking for a burial in the 1920s and he could give no info, so I fear that you are unlikely to find any records going back to the period which you are researching.
The Curragh is a lovely graveyard and overlooks the River Lee. It is up high on a hill near to a place known as Kerry Pike. It is an ancient burial ground and members of my family have been buried there for generations. It also contains the grave of the man who had the longest funeral journey in the world. I will have to look up the details. I think the guy was Jerome Collins, and he was related to my family in some way.
Kilcully, or St Catherine's Kilcully, to give it its full name, is by far my favourite. The old graveyard is very small indeed and when I was there all you could hear was the sound of birdsong and in the distance the faint noise of a tractor. Like Curraghkippaune, it is rural, but a newer and much larger graveyard has been built a few yards from it, but it in no way obscures the old and is actually out of sight of the old. Members of my family have been buried there, in the old graveyard, since at least 1880, and there are a lot of older graves there too, but again, I doubt you will find any records going back that far. There are registers for graveyards and these are kept by either Cork City Corporation or Cork County Council, but, as I said earlier, they are too recent to be of any great use.
You can get a good view of both graveyards on Google Earth, and I will try to figure a way to give coordinates from the program so that you can have a look.