Glickman was born and grew up in New York City, where her mother enrolled her in music school at the age of 3.
She studied at the Royal Academy of Music in London on a Fulbright scholarship.
She married Harvey Glickman, a political science professor, in 1956.
[1] "Mrs. Glickman was on a mission to unearth female composers who had gone unnoticed in music history.
"[2] "In 1991, she was coeditor with Martha Schleifer of a 12-volume reference, Women Composers: Music through the Ages.