Washington Mesothelioma Lawyers A mesothelioma attorney can ensure asbestos victims can file their lawsuits within the statute of limitations. They can also help families determine if they're qualified to make a claim on a trust fund. The manufacturers of asbestos-containing materials knew about the dangers, but they did not inform workers or public. This is why a lot of people have been diagnosed with asbestos-related illnesses in Washington. Statute of Limitations The laws that govern mesothelioma and other asbestos lawsuits vary by state.