It seems fairly certain that Daisy's reference to her "green card" and "little golden pencil" are references to the dance program, an example of common ephemera typical to the time. From www.1920-1930.com's page on dance ettiquite:

“DANCE PROGRAMS

The dance program is rarely used now except at college dances, or army and navy dances. It has lost prestige with the passing of the old-fashioned ball. But sometimes there are special occasions when the hostess wishes to have programs, in which case they serve not only as pretty and convenient adjuncts to the occasion, but as appropriate mementos.

Gilt-edged cards attached with a silk cord and provided with a tiny pencil are pretty when an attractive little sketch or a bit of verse enlivens the front cover. Each dance is entered on the program—and many a delightful memory is kept alive by glancing at these names days after the dance was held. These programs may be filled beforehand or they may be filled at the dance.”

An early 1920s example of a dance card booklet, containing cards on which women could write the names of their dance partners. The red cord no doubt was connected to a short pencil for such a purpose.