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'That is very true,' said Miss Marple. 'You, dear Joan, did not know her at all. I did not know her at all. Raymond gathered an impression of her from one afternoon's conversation. Louise knew her for only two days.'

'Come now, Aunt Jane,' said Raymond, 'tell us your views. You don't mind, Inspector?'

'Not at all,' said the inspector politely.

'Well, my dear, it would seem that we have three people who had - or might have thought they had - a motive to kill the old lady. And three quite simple reasons why none of the three could have done so. The housekeeper could not have killed Miss Greenshaw because she was locked in her room and because her mistress definitely stated that a man shot her. The gardener was inside the Dog and Duck at the time, the nephew at the garage.'

'Very clearly put, madam,' said the inspector.

'And since it seems most unlikely that any outsider should have done it, where, then, are we?'

'That's what the inspector wants to know,' said Raymond West.

'One so often looks at a thing the wrong way round,' said Miss Marple apologetically. 'If we can't alter the movements or the positions of those three people, then couldn't we perhaps alter the time of the murder?'

'You mean that both my watch and the clock were wrong?' asked Louise.

'No, dear,' said Miss Marple, 'I didn't mean that at all. I mean that the murder didn't occur when you thought it occurred.'

'But I saw it,' cried Louise.

'Well, what I have been wondering, my dear, was whether you weren't meant to see it. I've been asking myself, you know, whether that wasn't the real reason why you were engaged for this job.'

'What do you mean, Aunt Jane?'

'Well, dear, it seems odd. Miss Greenshaw did not like spending money - yet she engaged you and agreed quite willingly to the terms you asked. It seems to me that perhaps you were meant to be there in that library on the second floor, looking out of the window so that you could be the key witness - someone from outside of irreproachably good character - to fix a definite time and place for the murder.'

'But you can't mean,' said Louise incredulously, 'that Miss Greenshaw intended to be murdered.'

'What I mean, dear,' said Miss Marple, 'is that you didn't really know Miss Greenshaw. There's no real reason, is there, why the Miss Greenshaw you saw when you went up to the house should be the same Miss Greenshaw that Raymond saw a few days earlier? Oh yes, I know,' she went on, to prevent Louise's reply, 'she was wearing the peculiar old-fashioned print dress and the strange straw hat and had unkempt hair. She corresponded exactly to the description Raymond gave us last weekend. But those two women, you know, were much the same age, height, and size. The housekeeper, I mean, and Miss Greenshaw.'

'But the housekeeper is fat!' Louise exclaimed. 'She's got an enormous bosom.'

Miss Marple coughed. 'But, my dear, surely, nowadays I have seen them myself in shops most indelicately displayed. It is very easy for anyone to have a - a bosom - of any size and dimension.' 'What are you trying to say?' demanded Raymond.

'I was just thinking that during the two days Louise was working there, one woman could have played both parts. You said yourself, Louise, that you hardly saw the housekeeper, except for the one minute in the morning when she brought you the tray with coffee. One sees those clever artists on the stage coming in as different characters with only a moment or two to spare, and I am sure the change could have been effected quite easily. That marquise headdress could be just a wig slipped on and off.'

'Aunt Jane! Do you mean that Miss Greenshaw was dead before I started work there?'

'Not dead. Kept under drugs, I should say. A very easy job for an unscrupulous woman like the housekeeper to do. Then she made the arrangements with you and got you to telephone to the nephew to ask him to lunch at a definite time. The only person who would have known that this Miss Greenshaw was not Miss Greenshaw would have been Alfred. And if you remember, the first two days you were working there it was wet, and Miss Greenshaw stayed in the house. Alfred never came into the house because of his feud with the housekeeper. And on the last morning Alfred was in the drive, while Miss Greenshaw was working on the rockery - I'd like to have a look at that rockery.'

'Do you mean it was Mrs. Cresswell who killed Miss Greenshaw?'

'I think that after bringing you your coffee, the housekeeper locked the door on you as she went out, then carried the unconscious Miss Greenshaw down to the drawing room, then assumed her 'Miss Greenshaw' disguise and went out to work on the rockery where you could see her from the upstairs window. In due course she screamed and came staggering to the house clutching an arrow as though it had penetrated her throat. She called for help and was careful to say 'he shot me' so as to remove suspicion from the house-keeper - from herself. She also called up to the housekeeper's window as though she saw her there. Then, once inside the drawing-room, she threw over a table with porcelain on it, ran quickly upstairs, put on her marquise wig, and was able a few moments later to lean her head out of the window and tell you that she, too, was locked in.'

'But she was locked in,' said Louise.

'I know. That is where the policeman comes in.'

'What policeman?'

'Exactly - what policeman? I wonder, Inspector, if you would mind telling me how and when you arrived on the scene?'

The inspector looked a little puzzled. 'At twelve twenty-nine we received a telephone call from Mrs. Cresswell, housekeeper to Miss Greenshaw, stating that her mistress had been shot. Sergeant Cayley and myself went out there at once in a car and arrived at the house at twelve thirty-five. We found Miss Greenshaw dead and the two ladies locked in their rooms.'

'So, you see, my dear,' said Miss Marple to Louise, 'the police constable you saw wasn't a real police constable at all. You never thought of him again - one doesn't - one just accepts one more uniform as part of the law.'

'But who - why?'

'As to who, well, if they are playing A Kiss for Cinderella, a policeman is the principal character. Nat Fletcher would only have to help himself to the costume he wears on the stage. He'd ask his way at a garage, being careful to call attention to the time - twelve twenty-five; then he would drive on quickly, leave his car round a corner, slip on his police uniform, and do his 'act.' '

'But why - why?'

'Someone had to lock the housekeeper's door on the outside, and someone had to drive the arrow through Miss Greenshaw's throat. You can stab anyone with an arrow just as well as by shooting it but it needs force.'

'You mean they were both in it?'

'Oh yes, I think so. Mother and son as likely as not.'

'But Miss Greenshaw's sister died long ago.'

'Yes, but I've no doubt Mr. Fletcher married again - he sounds like the sort of man who would. I think it possible that the child died, too, and that this so-called nephew was the second wife's child and not really a relation at all. The woman got the post as housekeeper and spied out the land. Then he wrote to Miss Greenshaw as her nephew and proposed to call on her - he may have even made some joking reference to coming in his policeman's uniform - remember, she said she was expecting a policeman. But I think Miss Greenshaw suspected the truth and refused to see him. He would have been her heir if she had died without making a will but of course once she had made a will in the housekeeper's favour, as they thought, then it was clear sailing.'

'But why use an arrow?' objected.Joan. 'So very farfetched.'

'Not farfetched at all, dear. Alfred belonged to an archery club - Alfred was meant to take the blame. The fact that he was in the pub as early as twelve-twenty was most unfortunate from their point of view. He always left a little before his proper time and that would have been just right.' She shook her head. 'It really seems all wrong - morally, I mean, that Alfred's laziness should have saved his life.'