I'm sorry...I totally disagree with burning those clothes. As a matter of fact, besides being irresponsible...it's also dangerous.
What do you think would happen to the burned oil?...how many people would breathe the smoke? That's actually the quickest way to become infected. I know...from unintended experience.
I'm very seriously allergic with shots a routine endurement during the summer. I have never ever had my washed clothes reinfect me. Dogs and cats, yes...never clothes.