I should think they're simply called 'innkeepers'.
The Inn Keeper - 2010 was released on: USA: December 2010
A person who owns/runs an inn or hotel.
The compound word for "keeper of the inn" is "innkeeper." An innkeeper is a person who manages or owns an inn, providing lodging and often meals to guests. The term combines "inn," referring to a place that offers accommodation, and "keeper," indicating someone who maintains or oversees that establishment.
an inn keeper
I think it has to do with sounding modern & p.c. Inn keeper sounds a touch feudal; landlord or host is friendly and comtemporary. Same as saying bus driver instead of coachman. Personally I find the old terms more charming.
He was the keeper of the Sprouter Inn
Wirt ...from Wirtshaus....an Inn Keeper.
The cast of One Night at the Inn - 2010 includes: Felix Bell as The Stranger David Sterne as Inn Keeper
a park keeper
Could be a Park Keeper, or a Park Warden.
SpyGlass Inn
An inn is called an inn in Chaucer's Canterbury Tales. That is the medieval term for an inn. Similar words are tavern or roadhouse.