Cat dander

My cat is an older cat but I've only had her 2 years, her last owners couldn't keep her any longer. Last year she went without fleas. This year, she started with the black eggs, I now brush her often with lemon juice or vinegar. 

It may be fungus or if it is somthing living or moving thing then can be fleas. You must take care of your cat. Use best shampoos i am giving a product link which might be helpful for your cat.