Skala was born Lilia Sofer in Vienna. Her mother, Katharina Skala, was Roman Catholic, and her father, Julius Sofer, was Jewish and worked as a manufacturer's representative for the
Waldes Koh-i-noor Company. She was one of the first women to graduate in architecture and engineering from the University of Dresden, then practiced architecture professionally in Vienna. In the late 1930s, she was forced to flee her Nazi-occupied homeland with her husband, Louis Erich Skala, and their two young sons. (Lilia and Erich adopted the non-Jewish sounding surname of Lilia's mother.) Skala and her husband managed to escape (at different times) from Austria and eventually settled in the United States. ==Career==