"That's all very fine, but it plays ducks and drakes with your previous reasoning, for how did she obtain a knowledge of those three all-important facts about the entrance that you said even the criminal could not divine?" I inquired.

"When we meet the fair Cora you can ask her to explain the facts for you, Mr. Davies. I confess that I cannot," he said a little wearily. "It isn't good to jump at conclusions and I make it a rule not to say anything which cannot be proved to have foundation in fact. Now I do not know how she got there, but I do believe she was present in the study. Until we make that a fact also, we will not discuss it."

Annoyed at his tone I remained silent, but my eyes betrayed me as I turned in his direction for a moment and he read curiosity in their depths. He smiled and clapped me on the shoulder. "I'm an old crank. You shouldn't mind my talk," he said. "I guess you have as good a right as anyone to all the knowledge that can be gleaned in this business. I owe my information to friend Jones. The blood-stained handkerchief is Cora Manning's, I'm pretty sure, though the police are positive it belongs to Mrs. Darwin. Perhaps you recall that I gave you an involuntary but generous whiff of it that day. Did you recognize the perfume?"

"Not at the time. I have since placed it as Rose Jacqueminot," I replied.

"That's right. It was very faint, but unmistakable. Now, I smelled the other handkerchief also. It was scented with violet. You see, I have made quite a study of perfumes and the different scents are as distinct from each other as different brands of cigars or cigarettes. A refined woman who has any taste at all chooses the perfume best suited to her personality, and sticks to it. She doesn't use one kind one week, a different kind the next. We will go over Cora Manning's room. If we find even the faintest trace of Rose Jacqueminot we will know without a doubt that the handkerchief is hers."

By this time we had reached Gramercy Park, and running up the steps of what was once a fashionable residence, we rang the bell. After an appreciable interval we heard a shuffle of feet in the hall, and a thin, emaciated-looking chap opened the door.

"Is Miss Manning in?" inquired McKelvie.

"I don't know," said the man, dubiously. "If you'll take a seat in the parlor I'll call Mrs. Harmon."

We did as he requested and entered a gloomy room in which all the shades had been lowered, and as McKelvie moved restlessly around I seated myself upon a very uncomfortable horsehair sofa.

"No wonder yonder fellow is pale and thin," I thought, then I rose hastily, more in astonishment than true courtesy, if the truth must be told, for coming through the narrow doorway was the very largest woman I had ever seen outside of a freak show, and when I say large, I don't mean that she was tall. She was hardly more than middle height, but so ample of girth that I expected to see her stick midway between the door-posts, and pictured McKelvie and myself frantically endeavoring to extricate her by hauling mightily upon her short, fat arms. But she was evidently accustomed to this particular doorway, for with a sidewise shift she entered composedly enough.