N.H. Rev. Stat. Ann. § 1:17

The jurisdiction of the courts of this state over civil and criminal matters shall extend to all territory within the marine boundaries of this state as defined in this subdivision, which has not been heretofore incorporated in any town, city or county. In such event, all such proceedings may be instituted in the district or municipal court of the district or municipality closest to the place where the alleged offense occurred or cause of action arose or in the superior court holden in Rockingham county, to the same extent as if the alleged offense occurred or cause of action arose within said district, municipality or county, any other jurisdiction or venue statute to the contrary notwithstanding.