N.Y. Volunteer Ambulance Workers Benefit Law § 18
Except as otherwise provided in section ten of this article, in the case of the death of an injured volunteer ambulance worker to whom there was due at the time of his death any benefits under the provisions of this chapter, the amount of such benefits shall be payable to the surviving spouse, if there be one, or, if none, to the surviving child or children of the deceased under the age of eighteen years, and if there be no surviving spouse or children, then to the dependents of such deceased or to any of them as the workers' compensation board may direct, and if there be no surviving spouse, children or dependents of such deceased, then to his estate. An award for disability may be made after the death of an injured volunteer ambulance worker.
N.Y. Volunteer Ambulance Workers Benefit § 18