The executive director shall promptly require of each employer who has elected to pay direct compensation under the provisions of section nine, article two of this chapter a verified list of the names and addresses of all persons to whom the employer is paying workers' compensation on account of permanent total disability or because of the death of an employee and any evidence respecting those persons as the executive director may reasonably consider necessary to determine the eligibility of any person to participate in the disabled workers' relief fund. Any person claiming the right to participate in the fund under the provisions of this section may file his or her application for participation with the executive director and shall be accorded a hearing on the application.