"I think it may," replied Harding. "Let us take Lady Billington-Smith first. If you glance at the time-table you'll see that from eleven-fifty till a few minutes before twelve-twenty when she interviewed the gardener, her movements are not accounted for. But at twelve-five Halliday admits to having been in the study, and from twelve-ten to about twelve-fifteen Mrs. Twining was in the hall, and heard no one in the study. That leaves only five minutes for Lady Billington-Smith to murder Sir Arthur, and reach the kitchen-garden at the other side of the house."
"That's as may be," said the Superintendent. "But supposing she did it before twelve-five? What about that?"
Harding looked up. "You are forgetting that Halliday saw the General at twelve-five alive."
The Superintendent, who never felt at his best so early in the day, glared at the Sergeant, and said: "You've only got his word for that, Mr. Harding."
Evidently Harding did not consider it worth while to argue this point, for he passed on to his next suspect. "Now we come to Halliday," he said. "Somewhere round about twelve he entered the study, to give back the cheque presented to his wife. Has the Sergeant told you of that?"
"Yes, Mr. Harding, he has, and to my way of thinking that's our man. If you remember, I said so right from the start."
"I agree with you that a great deal of the evidence points to him. Yet I'm not entirely satisfied. The motive is there, and so is the opportunity. I should say that he is very hot-tempered. I could easily believe in a violent quarrel between him and Sir Arthur, culminating in that blow with the nearest weapon to hand, if it were not for just one thing. On top of the fragments of the cheque in the waste-paper basket were quite a number of other papers. If Halliday committed the murder you would expect to find the cheque uppermost."
Some shadow of emotion crossed the Sergeant's face. "I ought to have thought of that," he said sorrowfully. He stroked his moustache, pondering the question. "You could account for it, sir," he pronounced at length "Supposing it was Mr. Halliday himself who threw them other papers into the basket?"
"I have considered that point," admitted Harding. "It seems to me possible but unlikely. One can argue, of course, that if Halliday had the presence of mind to wipe any finger-prints off the hilt of the dagger he would have had enough presence of mind to throw papers in to the basket on top of the torn cheque. Yet wouldn't it have been a simple matter to have gathered up the pieces of the cheque, and taken them away with him?"
"There is that, of course," conceded the Sergeant, and stroked his moustache anew.