Yes, I do realise how many James Beattys there were in 19th century Co. Fermanagh but refuse to admit defeat! This is everything I know about ours: On the 1873 marriage certificate of his son, (born in Fermanagh abt. 1842 and also named James Beatty) he is described as a "farmer" whereas the father of the bride is described as a "gentleman". From this I deduce that James Beatty senior was probably a tenant farmer, not a landowner, but a reasonably substantial one since his son caught the eye of a "gentlemans" daughter. The son's wedding was in a Presbyterian church in Dublin, so, like all the others, our James Beatty was probably of Scottish origin. I went through the whole of the Griffiths Valuation for Co. Fermanagh, and guessing that you'd need at least 30 acres to be a farmer (please let me know if you have better info. about 19th century Irish farming!) found that only about 7 James Beattys had that much land. 5 of them were within a few miles of Five-Mile-Town, and maybe some of them are the same person.
If I were closer to Ireland I'd be happy to spend a week or two wading through Presbyterian and COI parish and land records in Dublin and Belfast, including the updates to the Griffith Valuation, trying to find out if one of those James Beattys had a son James Beatty in 1842. As I'm on the other side of the world in Australia I'd really appreciate any advice as to how to proceed from here, including any flaws you can spot in my reasoning so far.