N.Y. Vol. Fire. Ben. Law § 42
If an injury is one for which an insurance carrier might be liable under a contract of insurance or a county plan of self-insurance might be required to pay, the officer to whom a notice of injury is required to be delivered or mailed and with whom the claim in relation to such injury is required to be filed under the provisions of this chapter shall send a copy of such notice and claim and a copy of any notice of a proceeding relating to an injury or claim to such insurance carrier or county plan of self-insurance, as the case may be, promptly after receiving the same. The political subdivision liable for the payment of benefits under this chapter shall keep such records and make such reports to the chairman of the workmen's compensation board as required by section one hundred ten of the workmen's compensation law, which by section fifty-seven of this chapter is made applicable to this chapter. Failure to comply with the provisions of this section shall not relieve such an insurance carrier of liability or a county plan of self-insurance from its obligation to pay.
N.Y. Vol. Fire. Ben. Law § 42