Power went on to appear in various West End musicals. In 1969 she played the leading role, Lucy, in "Two Cities", a British musical about the Charles Dickens story "A Tale of Two Cities", which played at the Palace Theatre, London. She later toured in a production of "The Pajama Game", and in 1972 she played Avonia Bunn in the Julian Slade musical, "Trelawny", which was based on the Pinero play "Trelawny of the Wells". The show opened at the Bristol Old Vic, then transferred to Sadler's Wells Theatre and later the Prince of Wales Theatre, with Power staying for its entire run. In 1974 she was cast in the revue "Cole", built around the songs of Cole Porter, which played at the Mermaid Theatre. The following year she appeared in "So Who Needs Marriage?", a musical written by Monty Norman, which toured for a few weeks in May 1975. "So Who Needs Marriage?" ended uo being Power's "swansong" in musicals. She has since commented that the musicals of the late 1960s and early 1970s were not the sort of shows that suited her vocal talents: "The musicals were mainly American imports. If you didn't have that big chesty voice, there was no place for you…"