While the story doesn't explicitly state the exact location, it provides several clues:
* The mention of "the band" playing suggests a public space where music is commonly performed.
* The description of the setting as a "sun-drenched" place with "pale green leaves" hints at a warm, Mediterranean climate.
* The presence of "the little old men" and "the elegant ladies" in the garden suggests a place frequented by tourists and locals alike.
All of these details point to a public garden, likely in a French seaside town, as the most likely setting for "Miss Brill."