The phrase "fur cap" is correct in written English.
You can use it to refer to a type of headwear typically made of fur. For example, "He was warmly dressed for the snow with a thick coat and a furry cap."
An old man in a fur cap stepped up to a microphone.
A portly character in a mouldy-looking fur cap emerges from a nearby house.
He donned his coat over his dhoti, wore a fur cap, hooked an umbrella on his arm, and came out.
Most of these pieces, nationalistic in theme and traditional in style, fitted into the genre wryly dubbed "fur cap opera".
One of them, his back to the chest, takes from a Jew (left) wearing a fur cap a dish on which a little demon is excreting coins.
Ramachandran, Tamil cinema's most popular actor ever, who eventually wore a fur cap and dark glasses, and ruled the state as chief minister.
Strays were sometimes turned into fur caps, or used in scientific experiments.
Fur caps and fluffy stoles with ribbon ties (luxurious in white) added a feeling of opulence.
And northern Chinese peasants wear dog fur caps to keep their ears warm.
"Only the most quiet [dogs] survived". Strays were sometimes turned into fur caps, or used in scientific experiments.
The cold was such that only a very few with matted hair were able to remove their fur caps.
