N.H. Rev. Stat. Ann. § 402:79

Whenever the state or any of its subdivisions, or any agency of the state or of any of its subdivisions, is required to pay under the provisions of RSA 623:1, I for the medical care of any person in its custody pursuant to a valid arrest or detention, such governmental unit shall be entitled to obtain reimbursement for such payments from any insurer to the extent that such insurer would be liable to pay for such medical care pursuant to any health, medical, group health or medical, liability, or other insurance policy.