My cat has bald spots on her limbs and has been vomiting hairballs and at times food and water?

i would say bring her to the vet, if you think they are flea eggs take the black thing with a comb and take a kleenex, wet the kleenex and put the black thing in it, if there is blood it is a flea problem, as for the other my cat had those problems too she had a problem with her stomach she had a virus and needed medication, you are better safe then sorry if u care about your cat, you would pay this money, trust me anyone who cared would