What is the name of the innkeeper at The Prancing Pony?

Barliman Butterbur is the innkeeper at The Prancing Pony.

Butterbur runs the busy inn in Bree, where Frodo, Sam, Merry and Pippin stop while travelling east toward Rivendell. The Prancing Pony is one of the most important meeting places in the early part of The Fellowship of the Ring, bringing Hobbits, Men and the mysterious Ranger known as Strider into the same story.

Butterbur is a friendly but absent-minded innkeeper. He forgets to deliver a message intended for Gandalf, a lapse that delays the wizard's plans and helps create the tense circumstances surrounding the Hobbits' stay. He also helps arrange the Hobbits' rooms and becomes involved in the aftermath of their disappearance.

The wrong options are characters connected to other parts of Middle-earth. Gamling is a man of Rohan, while Bob and Nob are associated with the Prancing Pony as staff and helpers rather than being its innkeeper. The name Barliman Butterbur is therefore the specific canonical answer, not simply “the innkeeper.”