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Shayne was silent for a moment, thinking hard. “And you say Nora had been having an affair with your father prior to this?”

“Yes.”

“Didn’t Ralph mind?”

“I don’t suppose he knew,” she said with contempt. “I tried to tell him what she was, but it only made him fearfully angry. He said people misjudged her and that I was just nasty jealous.”

“How did your father feel?” Shayne probed.

“Frankly, I suspected afterward it was something Pops and Nora cooked up together,” she confessed after a brief hesitation, her brooding gaze fixed on Shayne, “to get Ralph away from his job and in partnership with Pops to make this new plastic. Because that’s what happened. She began working on Ralph, giving him delusions of grandeur, and convincing him he was being unfairly exploited by Vulcan. Up to that time he was happy with the arrangement and with his work. They paid him a very good salary and he never thought of complaining until Nora got her hooks into him.”

“Are you saying you suspect your father sent his mistress to make love to Ralph Carrol,” Shayne asked incredulously, “and marry him, in order to persuade him to quit his job as research chemist for Vulcan and team up with him? He didn’t know about this new plastic at that time. It hadn’t been discovered yet, or invented, or whatever. What you suggest would imply an extraordinary and blind faith in Carrol’s ability to come up with something very valuable.”

Ann said, “Nuts. If you think, for one moment, Pops ever invested a nickel in blind faith, you just don’t know Pops. He can talk himself blue in the face without convincing me the new plastic wasn’t in the bag before he ever sicked Nora onto Ralph. Don’t you see? That’s why he did it.”

Shayne tugged at his left ear lobe and studied the girl with narrowed eyes. “Then you think the lawsuit is completely justified? That Ralph did break faith with Vulcan and reserve for his own benefit a discovery actually made while in their employ and while utilizing their research facilities?”

“Certainly,” she said impatiently. “I’m practically positive of it, even if I can’t prove it. And there’s something else I’m morally certain of, too, even if I can’t prove it, either. That is, that Ralph came to his senses, after finding out what sort of woman Nora was, and, as soon as the divorce was final, he was going to quit Pops and go back to Vulcan and admit he was wrong.”

“If that were true,” said Shayne absently, “it would remove any motive at all for Vulcan desiring his death. If they were aware of his intention,” he added after a moment’s hesitation.

“I know. And while you’re being logical about it you can go right ahead and mark that down as a motive for Pops. Now that Ralph is dead, the lawsuit will probably drag along for months or years and probably end in some sort of compromise. Don’t think I haven’t thought about that,” she went on fiercely, a hint of color coming into her white face. “It’s all I have thought about since I heard about Ralph this morning. That, and where Pops was last night when it happened.” She lifted her coffee cup with trembling fingers and drained it, while her eyes met his in a cold blue challenge.

Shayne took a sip of cognac and didn’t say anything.

“So I’m an unnatural daughter,” Ann Margrave resumed in a biting voice, and set her empty cup in the saucer with a clatter. “All right, I am. I hate Pops. Do you hear me? I hate his guts. If he did do it I hope they hang him.” She blinked her lids and twin tears ran down her cheeks. She didn’t wipe them away.

“Do you think it possible that Ralph might have dropped the divorce action and gone back to Nora?” Shayne asked.

“No. She had done her best to persuade him. But Ralph wasn’t having any more. She had managed to twist him around her little finger once before when he was fed up and ready to quit, but this time it was for sure.”

“This first time you mention, was that on account of the anonymous letters?”

Ann Margrave didn’t try to hide her surprise at Shayne’s abrupt question, but she parried with one of her own. “So Pops came clean with just everything?” Her tone was one of ironic disgust.

“Perhaps not everything,” Shayne said easily. “What do you know about it?”

“I know that Ralph tried to laugh them off, but I think they started him wondering.”

“What did the letters accuse her of?”

“Oh, all sorts of things. Probably all true.”

“Including her previous affair with your father?”

“Yes. He and Pops had a big row about that, and, of course, Pops swore up and down it was all a big lie. After the way she behaved with Ted Granger, I guess Ralph realized the letters weren’t lies, after all.”

“And they never discovered who wrote the anonymous letters?”

“No.” She looked at him steadily, but spots of high color flared in her cheeks. “They never did.”

“So now we come to Ted Granger. Fill me in on him and exactly what happened.”

“Ted’s all right,” she said carelessly. “Sort of an innocent bystander and an awful fool. He’s Ralph’s cousin and doesn’t amount to much, and there was this weekend party where Nora got tight and made a terrific play for him. But, when they got caught and Ralph used that as grounds for divorce, Ted went all heroic and noble and took all the blame on himself. Maybe one night with Nora was enough to make a man fall in love with her,” she went on, her scarlet lips curling with contempt. “Ted went mooning around afterward declaring he would marry her if she would have him. But she didn’t want him. She wanted Ralph, or at least a good hunk of Ralph’s money as alimony.”

“Did Ralph have much money?”

“Only what he made from his invention. Of course, Pops says it’s worth millions.”

“But not if Ralph admitted what you think is the truth and turned it back to Vulcan.”

“No. Though I think there would have been some sort of settlement. They’re always generous about giving a share in a discovery to whoever makes it.”

“Your father says not,” Shayne commented dryly. “According to him, Ralph made several valuable discoveries during the years he worked in the Vulcan laboratories, and received nothing from them.”

“That’s just a lot of talk,” she stated flatly, “to make it sound as though Ralph had a good excuse for leaving them and going in with him.”

“Did you know that Nora had planned to make one last effort to get her husband back?”

“No. But I’m not surprised. I know she came down once before to work on him, but he wasn’t having any.”

“Then you didn’t realize she was in Miami planning to see her husband last night?”

One look at Ann’s face was enough to convince him she hadn’t known. “Then Nora must have done it herself,” she burst out excitedly. “Well, if you really want to solve this case, Mike Shayne, you go after her instead of Vulcan.”

“What would her motive be?”

“She wouldn’t need a motive,” Ann Margrave fold him promptly, “except having Ralph spurn her again. She’s got a vicious temper. You find out where she was when it happened. That’s all.”

Shayne grimaced and emptied his cognac glass. He didn’t think it would be polite to tell the girl that it looked very much as though Nora Carrol had been in his bedroom at just about the right time. Instead he asked, “Who else might have known about Nora’s plan?”

“Pops, I guess. And Mr. Bates, the lawyer.”