The Perils Of Privatisation - Part X
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No best answer has yet been selected by Scarlett. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.As the marks are on the ceiling I would say that your decorator is right, (the black specks are mould from the damp atmoshpere).
If it was rising damp then the walls would be affected.
Try increasing the ventilation in the kitchen, especially when cooking, perhaps having a window open. Alternatively you could have an extractor vent put in the window or an external wall.
Hope this helps