I can only guess that this invitation belonged to one of the Moran girls, most likely Fannie Moran. I know she and Ida Moran attended Mrs. M.E. Clark's Select School for Young Ladies and were probably friends with the ladies mentioned in the announcement.
Select School for Young Ladies,
At Watkins' Hall, Nashville, Tenn
Wednesday Evening, June 5 1889,
8 to 9:30 o'clock.
"A Florentine Mosaic,"
By the Class of 1889
Miss Mary Porter WEAKLEY, Tenn
Miss Claribel R. TURNER, Tenn.
Miss Elizabeth P. MCDANIEL, Mo.
Miss Sara H. GLASGOW, Tenn.
Conferring of Honors by the President of the
Board of Advisers,
Dr. Charles Forster SMITH
Mary Porter Weakley was the daughter of Thomas Porter WEAKLEY and Harriet Helen MOORE. She is related to Robert Weakley, a politician and representative in the Tennessee House of Representatives. Weakley County Tennessee was named after him.
Without more information I am not able at this time to discover who the other ladies might have been.