I'm going to be there for a few days this fall, and wondered if there were any mills or hand-loomers who sold yardage to the public.
Donegal in Donegal?
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John Molloy in Ardara - http://www.johnmolloy.com/
Studio Donegal in Kilcar - http://www.studiodonegal.ie/
The Studio Donegal people are really cool, spent a few happy hours with them last year.
Both of these will point you in other directions too. Kilcar and Ardara are stunning places as is Glencolumbkille just up the road. That part of Donegal is my favourite part of Ireland.
Also if you like eccentric places to stay the Green Gate B&B in Ardara is an experience. Run by a crazy old Frenchman, it's like nowhere else I've ever stayed. Beware though he's very wary of Americans!
Facepalm. Sorry - should have guessed.
If I recall correctly, there are a couple places in Galway city worth visiting. And of course the Aran Islands are as extraordinary as the sweaters they produce.
If you're an equestrian, you can find great hunting pinks, hacking jackets and boots.
Not sure what else.
I was last in Galway in 2008 and can't recall the names of the shops. While there were certainly tourist traps, I recall at least a couple of places that catered to locals and high-end guests. There also used to be a few good places doing interesting tweeds out in Connemara and along the N59 to Clifden, and along the coast road in the same direction (in Roundstone, if I recall correctly).
Sorry I can't be more specific. It's been a while.