Rhosgobel was the home of Radagast the Brown.
History
Rhosgobel located somewhere on the southwest borders of Mirkwood. The dates of when Radagast dwelt there are unclear, as is its exact location within the wood. It is unclear if Radagast was the only inhabitant of Rhosgobel, the alternate view being that it was a Woodmen settlement that Radagast simply lived in.
Etymology
The term Rhogobel originates from the Sindarin words rhosg ("brown") and gobel ("enclosed dwelling, walled house or village").
Portrayal in adaptations
The Hobbit film trilogy
In the first Hobbit film, Rhosgobel is depicted as a ramshackle cottage, with various walls and roofs from other cabins being pieced together haphazardly around the base of an old tree.