Mesothelioma Law Firms A mesothelioma lawyer firm helps asbestos victims file lawsuits against the companies responsible for their exposure. They can also help families receive financial compensation for medical expenses and lost income. Firms that have a history of settling mesothelioma cases successfully are more likely than others to be able to offer substantial compensation. For instance, Weitz Luxenberg secured a multimillion-dollar settlement for a Navy veteran and Simmons Hanly Conroy recovered $34 million from Ford Motor Company