Flea infestation can give a kitten/ cat anemia. Too many baths may be also give the cat a chill if she's in a weakened condition. A flea comb is great and dip the comb in rubbing alcohol to kill trapped fleas and dump them in the liquid. Combing with rubbing alcohol worked for me and my two rescued barn kittens. Their mother was killed by a coyote and they were orphaned in a horse barn.Good news: the kitten doesn't have worms. His eye is still bothering him and he's still sneezing, tho. Gonna give him another flea bath tonight. I think the fleas are giving him an allergic reaction.
You also should give the cat an old rag as bedding and change it daily because the fleas will be laying eggs in whatever bedding the cat has and you need to break the lifecycle of the fleas.