Hour Four: the missing page
Nudge. Rule out everyone somebody else can vouch for. Then ask who was in the kitchen, near the coal, with a reason to want paper.
Harder
The telephone exchange, the maid, the warden and the batman vouch for the Reeves, Sergeant Hollis and Mrs Christie. Mrs Pruett was in the larder when the range went out and found it lit when she came back. Somebody lit it, and Mr Locke went to the kitchen to see to the range.
The hour, in words
Six people in the house, as six buttons in two rows: Major Reeve, Mrs Reeve and Sergeant Hollis on top; Mrs Pruett, Edmund Locke and Mrs Christie below. Tap one and then Name them.
The answer
The answer is edmund.
Everyone else has a witness. The range went out at half past six and was relit before seven by somebody other than the cook, and Edmund Locke went to the kitchen to see to it: he lit it with the nearest paper, which was tonight's page, and the coal on his hands smudged the stub.