In some cases workers on docks or on large ships may have been exposed to asbestos in their work environment. Maritime lawyers are able to start legal action on behalf of the individuals or their families even if the ship or dock were the asbestos was present is in another country based on maritime laws.
Given its nature, maritime law can be quite different than the normal U.S. legal code, whether your issue occurs on a tugboat or a cruise liner. Don't assume that an everyday general lawyer can help; you'll need one schooled and experienced in the intricacies of maritime law.