This must have been a risqué photo back in the day. She appears to have pierced ears with diamond earrings and a very shiny bird like ornament in her hair. She is wearing a lacy creation.
Dillery or Dellery Dilly
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Update from Iggy:
I suspect this is "Addie" Adolphine Dilly nee Klosterman (b. 1872 d. 1955) buried in Saint Louis Cemetery, Louisville, Jefferson County, Kentucky. She was the wife of a Pharmacist, William G. Dilly.