Clark's remarkably long career has seen her work with Fred Astaire, tour with Jacques Brel, sell nearly 70 million records, and star in such stage shows as Sunset Boulevard and Blood Brothers. John Lennon cited her as one of his favourite singers. There is so much more to her than Downtown, possibly her most famous hit.
Earlier this year Clark released Lost In You, her first original English-language album in 15 years, and it formed much of the backbone of this show, the second in a string of 10 UK dates.
She sang Lennon's Imagine and told how she had been impressed by him in Montreal; prior to a thoughtful version of Love Me Tender, she told how she and her friend Karen Carpenter, at a time when they were the world's two bestselling female artists, met Elvis Presley in his dressing-room. Elvis was taken with them both but Clark "came over all Mary Poppins" and ushered Carpenter out of the room.
Other notables who crop up in Clark's chatty asides included Charlie Chaplin, George Lucas and Francis Ford Coppola. She has had an eventful life.
The audience adored the hits - Downtown, I Know A Place, Don't Sleep In The Subway - but she also impressed with two other songs from her new album: a fine version of Crazy and the gorgeous, acoustic-flavoured Cut Copy Me. At the end, she seemed genuinely moved by the standing ovation and by gifts from the audience of flowers and what looked like a box of chocolates. "Thank you, Glasgow, I love you," she said.