Emony had the unusual habit of standing on her head to relax herself. (DS9: "Afterimage")
During Jadzia Dax's zhian'tara in 2371, Leeta embodied Emony's memories and personality. (DS9: "Facets") While in Leeta's body, Emony remarked it was an excellent body as she was able to perform gymnastics moves in it easily. Jadzia assured Emony that Leeta would appreciate the compliment.
In the Lives of Dax short story Old Souls, McCoy's roommate, whose people have a long-standing feud with the Trill, attempts to kill Emony at the gymnastics competition, but another Trill steps in and takes the blow instead - McCoy is able to save his life, and the satisfaction he receives from doing so is the catalyst for his decision to become a doctor.
According to the script for "Afterimage", her name was pronounced as "EM-oh-knee".