It Depends On The Sentence.
Yes, the noun 'fur' is a common noun, a general word for thick coat of soft hair covering the skin of a mammal; a general word for something made from this covering of a mammal.
Yes, the word carpet is a noun, a singular, common, concrete noun; a word for a thick covering for a floor, a layer of something covering the ground, a word for a thing. The word carpet is also a verb (carpet, carpets, carpeting, carpeted).
The noun carpet is a singular, common, concrete noun; a word for a fiber or fabric floor covering; a word for a thing.
No, trouser is not a noun. 'Trousers' is a plural but it is still a noun.
You are likely meaning carapace, which is a noun. It is a shield covering an animal, such as a turtle.
The word spat is a singular common noun. The noun spat is an abstract noun as a word for a small argument. The noun spat is a concrete noun as a word for the cloth or leather covering for men's shoes.
"Wrap" can be both a noun and a verb. As a noun, it refers to a covering or packaging material. As a verb, it means to enclose something by folding or winding around it.
Yes, the word 'peel' is both a verb (peel, peels, peeling, peeled) and a noun (peel, peels).
The word cloche is a noun. It is a glass covering for plants.
Yes, the word 'sleeve' is a noun, a word for the part of a garment that covers the arm; a protective covering for an object; a word for a thing.
Yes, the word 'biosphere' is a noun, a word for the layers (earth, sea, atmosphere) covering the Earth in which things live; a word for a thing.
No. Covering is a verb form, or a noun, or more rarely an adjective. It can form a participial phrase, but it is not a preposition.