Mark,
Gibson's "Early Irish Golf" has a lot of good info on many NLE courses. I'll try to go through them and produce a list. Unfortunately, he only covered up to 1922-23, so there are many courses that were started in the late 1920s and 30s that vanished in the 50s and 60s, that would require some research.
I've been looking into the courses of Donegal, so I can give a list of NLE courses in this county.
Ardara (Sandhills, connected to Nesbitt Arms Hotel)
Ballyshannon
Carrick
Carrigart
Castlegoland (connected to Portnoo Hotel)
Falcarragh (Ballyness)
Ramelton Road (Letterkenny)
Crievesmith/Oldtown (Letterkenny)
Milford
Ramelton
Rosbeg-Loughside (connected to Dowros Bay Hotel)
Rossnowlagh
Rosses (Arland, Burtonport)
St. Columb’s (Churchill)
St. Patrick’s (Magheramagorgan, Carrigart)
Tantallon (Mountcharles, Donegal Town)