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“He’s dead?” she said, startled. “Who shot him?”

“I don’t know for certain, but I have an idea,” I said, hoisting my feet on to the desk. “Ten minutes after my call to Mifflin, the cops arrived, but Mifflin wasn’t with them. You remember those two coppers we ran into at Headquarters: the guy with the red hair and the tough-looking one? Well, they turned up. Sergeant MacGraw; that’s the red head, and Sergeant Hartsell. A couple of nice, well-behaved, quiet-mannered heels You could wish to avoid any day of the week. They made no bones about how pleased they were to find Dwan dead. Of course that was understandable. His death lets Salzer right out. All he has to do now is to claim Dwan was no longer working for him. Why Dwan stole Salzer’s car, knocked off Eudora and tried to knock off me is something for the police to find out. It’s my bet they never will find out.”

“You said you had an idea who killed him.”

“Yeah. When those two boys took Dwan away I wandered around and looked for clues. They came in a police car fitted with diamond tread tyres. I found the same pattern in the sand at the back of my cabin. It’s my guess they came out early in the evening to keep an eye on me and had a front-row seat for the little show Dwan put on for my benefit, and when I knocked him out and left him tied up the temptation was too much for them. While I was phoning Mifflin, they strolled over to Dwan and silenced him.”

“You mean two police officers…?” Paula began, her eyes growing wide.

“Look at the trouble it saves,” I said. “Put yourself in their place. Here is a guy wanted for murder, who will most certainly talk if he is ever brought to trial. He has probably a lot of things to say about Dr. Salzer that would make interesting reading in the papers. Brandon is a pal of Salzer. What could be more convenient than to put a slug into Dwan’s head and save the cost of a trial and inconvenience to Brandon’s little pal? Simple, isn’t it? I may be wrong, of course, but I doubt it. Anyway, there’s not much we can do about it, so let’s skip it and get down to something we can do something about. Have you looked up the Crosbys’ wills?”

Paula nodded.

“Janet didn’t make a will. Crosby left three-quarters of his fortune to her and a quarter to Maureen. Obviously Janet was his favourite. If Janet died, Maureen was to have the lot, providing she behaved herself. But if she ever gets mixed up in a scandal and gets herself in the newspapers, the whole fortune is to go to the Orchid City Research Centre, and she is to be paid only one thousand dollars a year. Crosby’s trustees are Glynn & Coppley, on the third floor of this building. Half the capital is tied up, the other half Maureen has the free run of, providing, of course, she behaves herself.”

“That’s a nice set-up for a blackmailer,” I said. “If she has put a foot wrong, and some crook has heard about it, he could shake her down for as much as she’s got. It wouldn’t be a lot of fun for her to live on a thousand a year, would it?”

Paula lifted her shoulders.

“Lots of girls live on less.”

“Sure, but not millionaire’s daughters.” I picked up the paper-knife and began to dig holes in the blotter. “So Janet didn’t leave a will. That means Eudora didn’t come into a legacy. Then from where was she getting her money?” I looked up and stared thoughtfully at Paula.

“Suppose she knew about Maureen’s drug cure? Suppose Maureen was paying her to keep her mouth shut? It’s an idea. Then I come along, and Eudora thinks she can screw a little money out of Maureen. She tells me to call back at nine, and puts through a telephone call either to Maureen or her representative who might be Dr. Salzer. In fact, could be Dr. Salzer. ‘Let’s have some more dough or I’ll talk,’ she might have said. Salzer sends Dwan down to reason with her. Instead, or even acting on orders, Dwan knocks her off. How do you like that?”

“It sounds all right,” Paula said dubiously. “But it’s guess work.”

“That’s right. It’s guess-work. Still, I don’t dislike it myself.” I made three more little holes in the blotter before saying, “I think I’d better have another word with Nurse Gurney. Look, Paula, she’s off duty during the day. Will you phone the Nurses’ Association and see if you can get her private address? Spin them a yarn. They’ll probably let you have it.”

While she was out of the office I had another nip out of the bottle and lit another cigarette.

First, Nurse Gurney, I told myself, and then Glynn & Coppley.

Paula came back after a few minutes and placed a slip of paper on my disfigured blotter.

“Apartment 246, 3882 Hollywood Avenue,” she told me. “Did you know she’s one of Dr. Salzer’s nurses?”

“She is?” I pushed back my chair. “Well, what do you know? It keeps coming back to Salzer, doesn’t it? “I edged my out-tray towards her. “There’s not much here. Nothing you can’t cope with.”

“That’s nice to know.” She picked up the tray. “Are you going ahead with this case?”

“I’m not sure. I’ll tell you this afternoon.” I reached for my hat. “I’ll be seeing you.”

It took me half an hour to reach Hollywood Avenue. The mid-morning traffic on Centre Avenue made the going slow, but I was in no hurry.

1882 Hollywood Avenue turned out to be a six-storey apartment block, that had been thrown together with an eye to quick profits and little if any comfort for the customers. The lobby was dim and shabby. The elevator was big enough to hold three people if they didn’t mind packing in like sardines. A chipped metal sign with a hand pointing to the basement stairs had Janitor printed on it in faded blue letters and hung lopsided on the wall.

I entered the elevator, pushed the grill shut and pressed the button marked 2nd Floor. The elevator rose creakily as if it was in two minds not to rise at all came to a sighing standstill two floors up. I tramped down an endless corridor flanked on either side by shabby, paint-chipped doors. After what seemed to me to be half a mile walk I arrived at Apartment 246, which was up a cul-de-sac, one of two apartments facing each other. I screwed my thumb into the bell-push, then propped up the wall and selected a cigarette. I wondered if Nurse Gurney was in bed. I wondered if she would be glad to see me again, and hoped she would.

I had to wait about a couple of minutes before I heard sounds, and then the door opened.

Nurse Gurney looked a lot more interesting out of her nurse’s uniform. She was wearing a housecoat thing that reached to her ankles, but fell apart from her knees down. Her feet and legs were bare.

“Why, hello,” she said. “Do you want to come in?”

“I wouldn’t mind.”

She stood aside.

“How did you find my address?” she asked, leading me into a small living-room. “This is a surprise.”

“Yeah, isn’t it?” I said, dropping my hat on a chair. “You look knocked for a loop.”

She giggled.

“I happened to look out of the window and saw you coming. So I’ve had time to recover. How did you know I lived here?”

“Phoned the Nurses’ Association. Were you going to bed?”

“Uh-huh, but don’t let that drive you away.”

“You get into bed and I’ll sit beside you and hold your hand.”

She shook her head.

“That sounds dull. Let’s have a drink. Was there anything special or is this just a social call?”

I lowered myself into an armchair.

“Fifty-fifty, although the accent’s on the social side. Don’t ask me to fix the drinks. I’m feeling a little under the weather. I didn’t sleep good last night.”

“Who were you out with? “

“Nothing like that.” I reached gratefully for the highball and saluted her with it.

She came over and flopped on the divan. Her housecoat fell back. My eyes had time to pop before she adjusted it.