N.H. Rev. Stat. Ann. § 602:1

Offenders shall be prosecuted and tried in the county or judicial district thereof in which the offense was committed. But if any person is feloniously stricken, wounded or poisoned in one county or judicial district thereof and dies thereof in another, or if parts of an offense are committed in more than one county or judicial district thereof, the offense shall be deemed to have been committed, the offender may be prosecuted, and the trial may be had in either county or judicial district thereof.