Sorry Hugo, gave it a good try, I felt I should know it and even checked out your latest walk but no luck.
I'm sure that you did give it a good try Steve but I was waiting for someone to get it before posting my latest walk tonight because it's on there.
Blongb, you are correct with your comments. The Mill was built in 1743 and was in regular use for grinding grain for flour and cattle feed until the 1950’s. It also produced feed for the pit ponies that worked underground at the Point of Ayr Colliery. The Mill has since been renovated and is now a welcoming inn. It wasn't welcoming when we went on our walk though as the place was closed.

I thought that if Gwynant had seen the question he may have guessed the "clues Cymraeg" and the pub is in that place.
I'm going to take my dog for a walk now and will give the answer when I come back, that's if nobody has guessed it before I come back