Born in Basle, Switzerland, Ms. Grossman made her Broadway debut in James Goldman's The Lion in Winter, playing Alais. In 1968 she was Roxane to Robert Symonds' Cyrano in a revival of Cyrano de Bergerac. A revival of George Kelly's The Show-Off followed later that year, and, in 1970, she played Sybil Chase in Private Lives opposite the Elyot and Amanda of Brian Bedford and Tammy Grimes.
Soon after, she turned to writing. With Paxton Whitehead, a fellow actor, she adapted Feydeau's farce There's One in Every Marriage for the Broadway stage in 1971. She and Whitehead followed that show up in 1974 with another Feydeau adaptation, Chemin de Fer. She also wrote many episodes for the soap opera "Ryan's Hope."