Hi Dean
Now, I'm no expert, being from the west and it looks like these are all places in the North East, but this is how I would pronounce them if that's any use to you!  
Slieve Donard - 
Sleeve (of a jumper/sweater) 
DonardMourne - 
Mourn (grieve)
Slievenaglogh - 
Sleeve nah glockCrocknafeola - 
Crock nah feeolahHere's a couple of bonus ones for good measure - commonly mispronounced by visitors the Wild Atlantic Way (put more emphasis on the underlined part)
Tralee - 
Trah (NOT Tray) 
leeGalway - 
Gawl (like shawl) 
wayInis Oirr - 
Inish Ear (Eastern Island - closest of the 
Aran Islands to Doolin)
Burren - 
Brr (like cur, NOT Be- urr) 
enIrish place names are a great conversation starter/stopper ;) The Burren is the name of a region in North Clare which is a huge limestone plateau - the size of about 27 American football pitches.  The name Burren comes from the Irish word "Boireann" which means "rocky place", which I think is very appropriate!
I hope this actually helps and doesnt confuse you even more... 
:PGo n'éirí an bóthar leat - which literally means "may the road rise to meet you" but generally means "Good Luck" 
:)All the best from Joan and the team at Garrihys Doolin2Aran Ferries