noon
With that to work upon , twenty men were at once ordered out into the fog to search for the house , and Inspector Lyle himself was despatched to the home of Lord Edam , Chetney 's father , with a warrant for Lord Arthur 's arrest . I was thanked and dismissed on my own recognizance . `` This morning , Inspector Lyle called on me , and from him I learned the police theory of the scene I have just described . `` Apparently , I had wandered very far in the fog , for up to noon to-day the house had not been found , nor had they been able to arrest Lord Arthur . He did not return to his father 's house last night , and there is no trace of him ; but from what the police knew of the past lives of the people I found in that lost house , they have evolved a theory , and their theory is that the murders were committed by Lord Arthur . `` The infatuation of his elder brother , Lord Chetney , for a Russian princess , so Inspector Lyle tells me , is well known to everyone . About two years ago the Princess Zichy , as she calls herself , and he were constantly together , and Chetney informed his friends that they were about to be married .