"How did you know?" he exclaimed.

"Simple deduction," Vance explained, resuming his rec.u.mbent posture.

"Large metal cigarette cases carried in the waistcoat pocket somehow go with silk shirts for evening wear."

Markham, clearly annoyed at the interruption, cut in sharply with a demand for the operator to proceed with his description.

"He wore his hair smoothed down," Spively continued, "and you could see it was kind of long; but it was cut in the latest style. And he had a small waxed moustache; and there was a big carnation in the lapel of his coat, and he had on chamois gloves. . . ."

"My word!" murmured Vance. "A gigolo!"

Markham, with the incubus of the nightclubs riding him heavily, frowned and took a deep breath. Vance's observation evidently had launched him on an unpleasant train of thought.

"Was this man short or tall?" he asked next.

"He wasn't so tall, about my height," Spively explained. "And he was sort of thin."

There was an easily recognizable undercurrent of admiration in his tone, and I felt that this youthful telephone operator had seen in Miss Odell's caller a certain physical and sartorial ideal. This palpable admiration, coupled with the somewhat outre clothes affected by the youth, permitted us to read between the lines of his remarks a fairly accurate description of the man who had unsuccessfully rung the dead girl's bell at half past nine the night before.

When Spively had been dismissed, Markham rose and strode about the room, his head enveloped in a cloud of cigar smoke, while Heath sat stolidly watching him, his brows knit.

Vance stood up and stretched himself.

"The absorbin' problem, it would seem, remains in statu quo," he remarked airily. "How, oh, how, did the fair Margaret's executioner get in?"

"You know, Mr. Markham," rumbled Heath sententiously, "I've been thinking that the fellow may have come here earlier in the afternoon, say, before that side door was locked. Odell herself may have let him in and hidden him when the other man came to take her to dinner."

"It looks that way," Markham admitted. "Bring the maid in here again, and we'll see what we can find out."

When the woman had been brought in, Markham questioned her as to her actions during the afternoon, and learned that she had gone out at about four to do some shopping and had returned about half past five.

"Did Miss Odell have any visitor with her when you got back?"

"No, sir," was the prompt answer. "She was alone."

"Did she mention that anyone had called?"

"No, sir."

"Now," continued Markham, "could anyone have been hidden in this apartment when you went home at seven?"

The maid was frankly astonished and even a little horrified. "Where could anyone hide?" she asked, looking round the apartment.

"There are several possible places," Markham suggested: "in the bathroom, in one of the clothes closets, under the bed, behind the window draperies. . . ."

The woman shook her head decisively. "No one could have been hidden," she declared. "I was in the bathroom half a dozen times, and I got Miss Odell's gown out of the clothes closet in the bedroom. As soon as it began to get dark, I drew all the window shades myself. And as for the bed, it's built almost down to the floor; no one could squeeze under it." (I glanced closely at the bed and realized that this statement was quite true.) "What about the clothes closet in this room?" Markham put the question hopefully, but again the maid shook her head.

"n.o.body was in there. That's where I keep my own hat and coat, and I took them out myself when I was getting ready to go. I even put away one of Miss Odell's old dresses in that closet before I left."

"And you are absolutely certain," reiterated Markham, "that no one could have been hidden anywhere in these rooms at the time you went home?"

"Absolutely, sir."

"Do you happen to remember if the key of this clothes closet was on the inside or the outside of the lock when you opened the door to get your hat?"

The woman paused and looked thoughtfully at the closet door. "It was on the outside, where it always was," she announced, after several moments' reflection. "I remember because it caught in the chiffon of the old dress I put away."

Markham frowned and then resumed his questioning. "You say you don't know the name of Miss Odell's dinner companion last night.

Can you tell us the names of any men she was in the habit of going out with?"

"Miss Odell never mentioned any names to me," the woman said. "She was very careful about it, too, secretive, you might say. You see, I'm only here in the daytime, and the gentlemen she knew generally came in the evening."

"And you never heard her speak of anyone of whom she was frightened, anyone she had reason to fear?"

"No, sir, although there was one man she was trying to get rid of.

He was a bad character, I wouldn't have trusted him anywhere, and I told Miss Odell she'd better look out for him. But she'd known him a long time, I guess, and had been pretty soft on him once."

"How do you happen to know this?"

"One day, about a week ago," the maid explained, "I came in after lunch, and he was with her in the other room. They didn't hear me, because the portieres were drawn. He was demanding money, and when she tried to put him off, he began threatening her. And she said something that showed she'd given him money before. I made a noise, and then they stopped arguing; and pretty soon he went out."

"What did this man look like?" Markham's interest was reviving.

"He was kind of thin, not very tall, and I'd say he was around thirty. He had a hard face, good-looking, some would say, and pale blue eyes that gave you the shivers. He always wore his hair greased back, and he had a little yellow moustache pointed at the ends."

"Ah!" said Vance. "Our gigolo!"

"Has this man been here since?" asked Markham.

"I don't know, sir, not when I was here."

"That will be all," said Markham; and the woman went out.

"She didn't help us much," complained Heath.

"What!" exclaimed Vance. "I think she did remarkably well. She cleared up several moot points."

"And just what portions of her information do you consider particularly illuminating?" asked Markham, with ill-concealed annoyance.

"We now know, do we not," rejoined Vance serenely, "that no one was lying perdu in here when the bonne departed yesterevening."

"Instead of that fact being helpful," retorted Markham, "I'd say it added materially to the complications of the situation."

"It would appear that way, wouldn't it, now? But, then, who knows?, it may prove to be your brightest and most comfortin' clue. . ..

Furthermore, we learned that someone evidently locked himself in that clothes press, as witness the shifting of the key, and that, moreover, this occulation did not occur until the abigail had gone, or, let us say, after seven o'clock."

"Sure," said Heath with sour facetiousness; "when the side door was bolted and an operator was sitting in the front hall, who swears n.o.body came in that way."

"It is a bit mystifyin'," Vance conceded sadly.

"Mystifying? It's impossible!" grumbled Markham.

Heath, who was now staring with meditative pugnacity into the closet, shook his head helplessly.

"What I don't understand," he ruminated, "is why, if the fellow was hiding in the closet, he didn't ransack it when he came out, like he did all the rest of the apartment."

"Sergeant," said Vance, "you've put your finger on the crux of the matter. . . . Y' know, the neat, undisturbed aspect of that closet rather suggests that the crude person who rifled these charming rooms omitted to give it his attention because it was locked on the inside and he couldn't open it."

"Come, come!" protested Markham. "That theory implies that there were two unknown persons in here last night."

Vance sighed. "Harrow and alas! I know it. And we can't introduce even one into this apartment logically. . . . Distressin', ain't it?"

Heath sought consolation in a new line of thought.

"Anyway," he submitted, "we know that the fancy fellow with the patent-leather pumps who called here last night at half past nine was probably Odell's lover, and was grafting on her."

"And in just what recondite way does that obvious fact help to roll the clouds away?" asked Vance. "Nearly every modern Delilah has an avaricious amoroso. It would be rather singular if there wasn't such a chap in the offing, what?"

"That's all right, too," returned Heath. "But I'll tell you something, Mr. Vance, that maybe you don't know. The men that these girls lose their heads over are generally crooks of some kind, professional criminals, you understand. That's why, knowing that this job was the work of a professional, it don't leave me cold, as you might say, to learn that this fellow who was threatening Odell and grafting on her was the same one who was prowling round here last night. . . . And I'll say this, too: the description of him sounds a whole lot like the kind of high-cla.s.s burglars that hang out at these swell all-night cafes."

"You're convinced, then," asked Vance mildly, "that this job, as you call it, was done by a professional criminal?"

Heath was almost contemptuous in his reply. "Didn't the guy wear gloves and use a jimmy? It was a yeggman's job, all right."

8 THE INVISIBLE MURDERER (Tuesday, September 11; 11:45 A.M.) Markham went to the window and stood, his hands behind him, looking down into the little paved rear yard. After several minutes he turned slowly.

"The situation, as I see it," he said, "boils down to this:, The Odell girl has an engagement for dinner and the theater with a man of some distinction. He calls for her a little after seven, and they go out together. At eleven o'clock they return. He goes with her into her apartment and remains half an hour. He leaves at half past eleven and asks the phone operator to call him a taxi. While he is waiting the girl screams and calls for help, and, in response to his inquiries, she tells him nothing is wrong and bids him go away. The taxi arrives, and he departs in it. Ten minutes later someone telephones her, and a man answers from her apartment. This morning she is found murdered, and the apartment ransacked."

He took a long draw on his cigar.

"Now, it is obvious that when she and her escort returned last night, there was another man in this place somewhere; and it is also obvious that the girl was alive after her escort had departed.

Therefore, we must conclude that the man who was already in the apartment was the person who murdered her. This conclusion is further corroborated by Doctor Doremus's report that the crime occurred between eleven and twelve. But since her escort did not leave till half past eleven, and spoke with her after that time, we can put the actual hour of the murder as between half past eleven and midnight. . . . These are the inferable facts from the evidence thus far adduced."

"There's not much getting away from 'em," agreed Heath.

"At any rate, they're interestin'," murmured Vance.