"Then the interview was a friendly one—on Cathcart's side, anyhow. But the revolver's a difficulty. How did No. 10 get hold of Gerald's revolver?"

"The conservatory door was open," said Parker dubiously.

"Nobody knew about that except Gerald and Fleming," retorted Lord Peter. "Besides, do you mean to tell me that No. 10 walked in here, went to the study, fetched the revolver, walked back here, and shot Cathcart? It seems a clumsy method. If he wanted to do any shooting, why didn't he come armed in the first place?"

"It seems more probable that Cathcart brought the revolver," said Parker.

"Then why no signs of a struggle?"

"Perhaps Cathcart shot himself," said Parker.

"Then why should No. 10 drag him into a conspicuous position and then run away?"

"Wait a minute," said Parker. "How's this? No. 10 has an appointment with Cathcart—to blackmail him, let's say. He somehow gets word of his intention to him between 9:45 and 10:15. That would account for the alteration in Cathcart's manner, and allow both Mr. Arbuthnot and the Duke to be telling the truth. Cathcart rushes violently out after his row with your brother. He comes down here to keep his appointment. He paces up and down waiting for No. 10. No. 10 arrives and parleys with Cathcart. Cathcart offers him money. No. 10 stands out for more. Cathcart says he really hasn't got it. No. 10 says in that case he blows the gaff. Cathcart retorts, 'In that case you can go to the devil. I'm going there myself.' Cathcart, who has previously got hold of the revolver, shoots himself. No. 10 is seized with remorse. He sees that Cathcart isn't quite dead. He picks him up and part drags, part carries him to the house. He is smaller than Cathcart and not very strong, and finds it a hard job. They have just got to the conservatory door when Cathcart has a final hemorrhage and gives up the ghost. No. 10 suddenly becomes aware that his position in somebody else's grounds, alone with a corpse at 3 a.m., wants some explaining. He drops Cathcart—and bolts. Enter the Duke of Denver and falls over the body. Tableau."

"That's good," said Lord Peter; "that's very good. But when do you suppose it happened? Gerald found the body at 3 a.m.; the doctor was here at 4:30, and said Cathcart had been dead several hours. Very well. Now, how about that shot my sister heard at three o'clock?"

"Look here, old man," said Parker, "I don't want to appear rude to your sister. May I put it like this? I suggest that that shot at 3 a.m. was poachers."