Lorielu,
If searching for records in Ireland the lady’s forename may well be Ellen rather than Eleanor. Eleanor was used occasionally but Ellen is much more common here in Ireland.
I note that you have most of the children born in the Dromore area, and 1 in particular in Drumlough. Plus 1 child Betsey born 130 miles away in Co. Donegal. That seems unlikely, unless Alexander’s occupation involved moving about. If he was a farmer or labourer he’s unlikely to have got as far as Donegal. There is more than 1 townland called Drumlough in Ireland. There’s one in Donegal too. I suspect someone has got them mixed up in their research. Just a thought.
Drumlough, in the parish of Dromore, is a townland of 1092 acres in Co. Down. The modern Dromara Rd goes through it. Drumlough Presbyterian church is in the middle of the townland. It’s a few miles south of Hillsborough.
You say that Eleanor/Ellen died in 1834 in Ballygowan, Moira. Ballygowan is in a different parish – Aghaderg. The tithe applotment records show several Mahood farms in the parish in 1828, including one in Ballygowan held by a John Mahood.
http://www.irishgenealogyhub.com/down/tithe-applotment-books/aghaderg-parish.php
Ballygowan is about a mile south of Banbridge. The modern Ballygowan Rd runs through the middle of it. Drumlough & Ballygowna are about 15 miles apart.
If you are looking for burial sites then there are plenty to choose from. If you are sure Alexander lived in Drumlough then try the graveyards in the Dromore area. Do you know what denomination he was? If Presbyterian I’d start with Drumlough Presbyterian church, failing which the Church of Ireland. You can use this site to locate all the graveyards in any parish:
https://www.ancestryireland.com/family-records/graveyards-in-ulster/
There look to be 6 in Dromore and 8 in Aghaderg. (You can probably discount the RC graveyards if the family were not of that denomination but Presbyterians were often buried in Church of Ireland graveyards so you need to take them into account. The Church of Ireland kept burial records for it’s own congregation but no other denomination bothered with records.
The other questions is what was Alexander’s occupation. If a farmer then he may have a gravestone but if a labourer he probably doesn’t. In the early 1800s many people couldn’t afford a gravestone and so were buried without one. Farmers were a bit better off and so a gravestone for a farmer is more likely.
