Hollywood had several airports in the Roaring Twenties, all private. This one belonged to Charlie Chaplin–
Here’s one that belonged to Cecil B. DeMille–
As you can see, they were tiny–little more than runways that the film moguls used for personal transportation and to film movie scenes and aerial shots. There was no idea of terminals, not until 1927 when the first (supposedly) airplane ticket office and waiting room was built in Dearborn, Michigan.
Chaplin’s and DeMille’s airfields long ago disappeared, eaten up by urban expansion.