As the name implies this is indeed the first or last house in mainland Great Britain. Located on the cliff tops of Land's End the cottage was built in the 19th century for Gracie Thomas. She ran it as a souvenir shop selling small pieces of granite with Land's End stamped on them. Bot much has changed over the years in this respect. Possibly the tat has got a little tackier.
One thing you might notice though is the 'First and Last extension'! The cottage is now about twice as long and has a toilet block (bigger than the cottage) to the rear. All part of the systematic destruction of any charm or character this location ever had.