All good questions.
The original name of the farm is Gwernybustach. Or Gwern y Bustach.
We have a holiday let, which we decided to call Fforest Farmhouse, as it’s easier to say. For English speakers. The business at the North End is based in another building called Ty Gallu. 
But the whole thing is probably still Gwernybustach, as it says on the OS map.
Too much information?