A Clue in Wax by Fred M. White

Cheriton turned away from the hotel into which he had tracked Bradmain and established his identity beyond the shadow of doubt. Just for a moment he was inclined to marvel at the audacity of the man, who, after successfully concealing his tracks from the surgeon Harness had been reckless enough to put up at a big London hotel in his proper name.

But, after all, that line of policy might be a safe one when, and if, inquiries came to be made, as they undoubtedly would Bradmain would assert that he had nothing to conceal and, therefore, why should he endeavour to hide his identity?