Each Aug. 15, to mark the disappearance, some of the siblings would climb the glacier to pray, she recalled. “For us, our parents were always beside us when we were up there,” she said.

Ms. Udry-Dumoulin, who has had a heart attack and a stroke, said she was no longer able to climb all the way up the glacier.

But now, she said with a laugh, her parents have descended from the glacier, via a police helicopter. “I’m impatient to see them even if they are mummified and black after the 75 years they slept together in the glacier,” she said.

In a phone interview, Stéphane Vouardoux, a spokesman for the police in the Canton of Valais, where the couple disappeared in 1942, said that DNA testing was underway on the bodies and on objects found near them.

“We still do not know for sure if these are the Dumoulins, and we have doubts, though the circumstantial evidence suggests that could be the case,” he said, noting that 280 people from the area had disappeared since 1926 without a trace after vanishing in mountains, lakes or glaciers.

The discovery of the bodies was a matter of chance. Mr. Vouardoux said that a worker for Glacier 3000, which runs cable cars and ski lifts, was walking in the picturesque mountainous area off the trail, near a ski lift about 8,600 feet above a ski resort, Les Diablerets, when he spotted two black rocks he had not noticed before.

When the worker got closer, he suddenly saw the bodies, Mr. Vouardoux said. After several forensic police specialists were dispatched to the scene, he said, they broke through the ice and discovered a book, a backpack and a watch.