Aylon was born in Brooklyn, New York. While living there, she received an orthodox Jewish upbringing; she was fluent in Hebrew. She attended grade school at Shulamith School for Girls and her high school education was at the Midrasha; Aylon, however, originally wanted to attend The High School of Music and Art in Manhattan. While attending high school, she became engaged to a rabbinical student named Mandel H. Fisch (b. 1926); they married in 1949. Aylon moved immediately to Montréal, where her husband served as a rabbi. After two years, she gave birth to a son, Nathaniel Fisch, followed by a daughter, Renee Emunah. The couple returned to Brooklyn while Aylon was pregnant with her second child. Mandel Fisch was diagnosed with cancer in 1956 and died five years later; Aylon was 30.