You may struggle to find much about James and his relation Cornelius. The bad news is the parish has no records earlier than 1865, long after what you need.
If your James’ father was a farmer, and alive in 1830, then he should be listed in the tithe applotment records. (The tithes were a tax on land). There were 5 farmers named McEnenny in Bodoney Lower at that time:
If you can get fathers names and occupation from marriage or death certificates in the US or Australia, then that may enable you to focus your search on one of those households. On the positive side, you will note that 4 of 5 households lived in Culvacullion townland, with one in Lekin (Leckin). That may narrow the search.
I see 3 McAneny households in Culvacullion in the 1901 census:
One in Leckin: