N.H. Rev. Stat. § 21-J:38

The liability, at law or in equity, of a transferee of property of a taxpayer for any tax administered by the department and any addition to tax, penalty or interest with respect to such tax, shall be assessed, paid and collected in the same manner and subject to the same provisions and limitations as in the case of the tax to which the liability relates, except as otherwise provided in this chapter. Transferee liability shall arise in cases in which the transfer is without adequate consideration, would render the transferor insolvent, or would render the transferor without sufficient property in New Hampshire to cover the amount of his tax liability. The term "transferee" includes, but is not limited to, donee, heir, legatee, devisee and distributee. If any person is deceased, the period of limitation for assessment against such person shall be the period that would be in effect had death not occurred.