Businesses: Inns in Britain and America

An inn is a small pub or hotel, especially one built in the style of many centuries ago:
an old country inn
British people use the word inn only when talking about a particular old-style pub or hotel:
I know a very nice little inn quite close to here.
The usual word is pub or hotel:
Let’s find a pub and have a drink.
Where’s the nearest hotel?
In American English, inn does not have a particular meaning apart from hotel or restaurant and is sometimes used instead of them in the names of businesses wanting to appear old-fashioned.