“Ah, that is unfortunate,” observed the detective, perplexed. “Would not any one be likely to know where they went?”

“No; I was the only person in the courtyard when the cab drove out.”

The detective, with an expression of disappointment replaced the paper in the envelope, and, announcing his intention of keeping it, placed it in his pocket. Then he left the hotel, and sauntered along to a small café in the Rue Auber, nearly opposite the Eden Theatre. That he had displayed a serious error of judgment in not acting with greater promptitude it was impossible to deny, and he was endeavouring to fix upon some plan whereby he could trace the woman who had left her husband so mysteriously and in such suspicious circumstances. Had he been wise, he told himself, he would have had an interview with Madame Trethowen as soon as her husband had been safely lodged inside the Préfecture. Now, however, he was baffled.

Evidently she feared a visit from the police, he argued, otherwise she would not have decamped, leaving only a piece of plain paper for her husband. Besides, the fact that she had left such a note was sufficient evidence to the detective that she was a clever woman, and, moreover, that she was desirous of hiding herself.

He remained at the café only long enough to swallow a glass of absinthe, then, hailing a cab, drove back to the Préfecture and consulted his chief.

From the central office inquiries were at once instituted, and within an hour it was ascertained that madame and her maid had driven from the hotel to the Gare du Nord, and left by the Brussels express, which started at 12:40. They had not booked to Brussels, but to Masnuy St. Pierre, a small Belgian town midway between Mons and Braine-le-Comte.

Monsieur Chémerault drove at once to the terminus, with the object of stopping them by telegraph before they left France. Almost breathless he alighted from his cab, and rushed upon the platform.

In a few moments he found the time-table of which he was in search. Running his finger down it, he saw that the train was timed to arrive at Quévy at half-past four, and at Mons at 5:02.

He glanced up at the large dock. It was a quarter past five.

Diable! She’s beaten us!” he cried with chagrin. “She’s crossed the frontier and escaped!” At that moment one of his colleagues joined him. “We’re too late,” said Chémerault disappointedly. “She’s got clear away. Somehow, I have a conviction that there is more in this case than we imagine. We must keep our eyes open, for if we arrest her, and she turns out to be the woman I believe she is, we shall find we have made a very important capture.”