This method of plastering ceilings was mostly gone during the 1950's, but there are lots still remaining that have not fallen down yet.
The construction is thin wooden strip "laths" which on later houses might be sawn, and on older houses split away with a sort of knife. I seem to recall that they were often made of chestnut. Often about an inch wide and a bit over a quarter of an inch thick, and nailed to the joists of the floor above at intervals of around an inch (I have not got one handy to check)
The plasterer mixed up a large bucket of powdered lime with water, and spread it on the ceilining, pushinh hard so it bulged up between the laths and flopped over. These flopped bits (the nibs) between the laths, once set, supported it and prevented in falling down, as did the adhesion to the laths.
In the hundred years or more since they were built, two things happened.
The plain steel nails holding the laths rusted away, especially over steamy kitchen, bathrooms and washhouses
In the Unpleasantness around 1940-45, must British towns and cities experienced numerous large explosions, which shook the houses and created blast that rocked the ceilings up and down.
It is therefore usual to find the ceilings are cracked and damaged, and many of the nibs have broken off. Many of them stay up from force of habit, and if reminded of their precarious condition, will fall down at whim. As well as sackfulls of thick lime, which is rather like mortar, and heavy, there will be a hundred years of dust, moths, woodworm and grime that will fall down. It is spectacularly dirty.
If you are a DIY homeowner with sufficient energy and fortitude, you can repair it yourself
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