As often happens, Spirits do work in various way and are often "playing" or testing. This is most probably not the same sitting as on the photograph above to right, as can be seen on the lady's clothing and shoes. This Ectoplasmic Rod lies on the sitters hand but is attached to this tambourine.
Estelle Stead (note the correction of her name at the top). Her father, William T Stead, was a writer interested in paranormal subjects, who died on the Titanic. Estelle sought contact with her father's spirit for many years after that, and wrote about her experiences in seances and with mediums. There's a spirit photograph of Estelle Stead that looks like this woman only older.