A silk top hat with gloves, tie, and box refers to a classic "Opera Hat" (or Gibus/Chapeau Claque), a collapsible top hat from the Victorian/Edwardian era designed for theater, often found as an antique set including the hat (made of silk plush on a spring frame), original hatbox, matching gloves, and sometimes a tie/cravat. These hats fold flat for storage, made by French makers like Gibus

Hat, gloves, bow tie,  Gustav Schwabe Box
 
Richard Merbitz 22 Inches in diameter