There is a memorial window to him in Mobberley in Cheshire. It says:
In his life he sought after whatsoever things are pure, high and eternal. At last in the flower of his perfect manhood he was lost to human sight between Earth and Heaven on the topmost peak of Mount Everest.

When his body was found, at long last, one point that was noted was that the Union Jack could not be found. We don't know whether he made it to the top, but we know why he had taken a Union Jack with him.