The 1970's also featured Rigg in some of her best stage work, prior to the 1990's. She and Mitchell were the first major actors to appear nude on stage and although critics praised the scene as tastefully done and necessary for the development of the play, the press went into a furor. The critics won. Rigg was named one of the year's best actresses by the London Critics' Circle for her role as Heloise and in 1971, when the play was brought to the United States, she received a Tony nomination for best actress in a dramatic play. In 1973, Rigg married Menahem Gueffen, an Israeli painter.
Various accounts paint it as a stormy, difficult relationship.
They separated for a time early in the marriage and then divorced in 1976. In 1982, she married Archibald Stirling and they have a daughter, Rachel, now attending university. Rigg and Stirling are divorced. During the 1980's, Rigg made a series of tv films and a Muppet movie for Disney, but her stage career lagged. Although she appeared in the short-lived musical, Collette , in 1981 and, in 1987 in the London revival of Sondheim's Follies , she devoted time to raising her daughter, Rachel, and to her marriage.