The presence of a Saguaro cactus indicates the desert Elmer visited was the Sonoran.
Elmer's penthouse is a splendid mid century design, with the very latest in wall sconce lighting and an opulent tiled bathroom, to name just two examples.
Although "Lullaby of Broadway" is heard in the background, Elmer's rooftop mansion seems more appropriate to Hollywood's environs, especially with all those tropical and desert plants. And Elmer behaves like an eccentric entertainment type.
The title is a play on the female style of upswept hair, usually seen for more formal occasions.