Will apple cider vinegar kill ringworm spores in kitten's fur?

I have two kittens with ringworm and I've spent nearly 300 dollars treating the ringworm. They look all better now and the vet says he thinks they're fine now. Well, I heard if you shine a black light on ringworm it glows green. So I put the kittens under a black light and they had very faint dust like particals in their fur that kind of glowed green. So I figure it's spores in the fur. And i don't want to have then reinfect themselves. So will the vinegar bath do the job? Thanks.