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She had told them at home that she was going to spend the night with a friend; but only her old coachman knew who that friend was. Therefore a very natural sense of guilt mingled with her emotions at finding herself alone on a scene whose gruesome mystery she could solve only by identifying herself with the place and the man who had perished there.

Dismissing from her mind all thought of self, she strove to think as he thought, and act as he acted on the night when he found himself (a man of but little courage) left in this room with an ailing child.

At odds with himself, his wife, and possibly with the child screaming away in its crib, what would he be apt to do in his present emergency? Nothing at first, but as the screaming continued he would remember the old tales of fathers walking the floor at night with crying babies, and hasten to follow suit. Violet, in her anxiety to reach his inmost thought, crossed to where the crib had stood, and, taking that as a start, began pacing the room in search of the spot from which a bullet, if shot, would glance aside from the mirror in the direction of the window. (Not that she was ready to accept this theory of Mrs. Hammond, but that she did not wish to entirely dismiss it without putting it to the test.)

She found it in an unexpected quarter of the room and much nearer the bed-head than where his body was found. This, which might seem to confuse matters, served, on the contrary to remove from the case one of its most serious difficulties. Standing here, he was within reach of the pillow under which his pistol lay hidden, and if startled, as his wife believed him to have been by a noise at the other end of the room, had but to crouch and reach behind him in order to find himself armed and ready for a possible intruder.

Imitating his action in this as in other things, she had herself crouched low at the bedside and was on the point of withdrawing her hand from under the pillow, when a new surprise checked her movement and held her fixed in her position, with eyes staring straight at the adjoining wall. She had seen there what he must have seen in making this same turn—the dark bars of the opposite window-frame outlined in the mirror—and understood at once what had happened. In the nervousness and terror of the moment, George Hammond had mistaken this reflection of the window for the window itself, and shot impulsively at the man he undoubtedly saw covering him from the trellis without. But while this explained the shattering of the mirror, how about the other and still more vital question, of where the bullet went afterward? Was the angle at which it had been fired acute enough to send it out of a window diagonally opposed? No; even if the pistol had been held closer to the man firing it than she had reason to believe, the angle still would be oblique enough to carry it on to the further wall.

But no sign of any such impact had been discovered on this wall. Consequently, the force of the bullet had been expended before reaching it, and when it fell—

Here, her glance, slowly traveling along the floor, impetuously paused. It had reached the spot where the two bodies had been found, and unconsciously her eyes rested there, conjuring up the picture of the bleeding father and the strangled child. How piteous and how dreadful it all was. If she could only understand—Suddenly she rose straight up, staring and immovable in the dim light. Had the idea—the explanation—the only possible explanation covering the whole phenomena come to her at last?

It would seem so, for as she so stood, a look of conviction settled over her features, and with this look, evidences of a horror which for all her fast accumulating knowledge of life and its possibilities made her appear very small and very helpless.

A half-hour later, when Mrs. Hammond, in her anxiety at hearing nothing more from Miss Strange, opened the door of her room, it was to find, lying on the edge of the sill, the little detective’s card with these words hastily written across it:

I do not feel as well as I could wish, and so have telephoned to my own coachman to come and take me home. I will either see or write you within a few days. But do not allow yourself to hope. I pray you do not allow yourself the least hope; the outcome is still very problematical.

When Violet’s employer entered his office the next morning it was to find a veiled figure awaiting him which he at once recognized as that of his little deputy. She was slow in lifting her veil and when it finally came free he felt a momentary doubt as to his wisdom in giving her just such a matter as this to investigate. He was quite sure of his mistake when he saw her face, it was so drawn and pitiful.

“You have failed,” said he.

“Of that you must judge,” she answered; and drawing near she whispered in his ear.

“No!” he cried in his amazement.

“Think,” she murmured, “think. Only so can all the facts be accounted for.”

“I will look into it; I will certainly look into it,” was his earnest reply. “If you are right—But never mind that. Go home and take a horseback ride in the Park. When I have news in regard to this I will let you know. Till then forget it all. Hear me, I charge you to forget everything but your balls and your parties.”

And Violet obeyed him.

Some few days after this, the following statement appeared in all the papers:

“Owing to some remarkable work done by the firm of – & –, the well-known private detective agency, the claim made by Mrs. George Hammond against the Shuler Life Insurance Company is likely to be allowed without further litigation. As our readers will remember, the contestant has insisted from the first that the bullet causing her husband’s death came from another pistol than the one found clutched in his own hand. But while reasons were not lacking to substantiate this assertion, the failure to discover more than the disputed track of a second bullet led to a verdict of suicide, and a refusal of the company to pay.

“But now that bullet has been found. And where? In the most startling place in the world, viz.: in the larynx of the child found lying dead upon the floor beside his father, strangled as was supposed by the weight of that father’s arm. The theory is, and there seems to be none other, that the father, hearing a suspicious noise at the window, set down the child he was endeavouring to soothe and made for the bed and his own pistol, and, mistaking a reflection of the assassin for the assassin himself, sent his shot sidewise at a mirror just as the other let go the trigger which drove a similar bullet into his breast. The course of the one was straight and fatal and that of the other deflected. Striking the mirror at an oblique angle, the bullet fell to the floor where it was picked up by the crawling child, and, as was most natural, thrust at once into his mouth. Perhaps it felt hot to the little tongue; perhaps the child was simply frightened by some convulsive movement of the father who evidently spent his last moment in an endeavour to reach the child, but, whatever the cause, in the quick gasp it gave, the bullet was drawn into the larynx, strangling him.

“That the father’s arm, in his last struggle, should have fallen directly across the little throat is one of those anomalies which confounds reason and misleads justice by stopping investigation at the very point where truth lies and mystery disappears.

“Mrs. Hammond is to be congratulated that there are detectives who do not give too much credence to outward appearances.”

We expect soon to hear of the capture of the man who sped home the death-dealing bullet.

END OF PROBLEM II

PROBLEM III. AN INTANGIBLE CLUE

“Have you studied the case?”

“Not I.”