N.H. Rev. Stat. Ann. § 541-B:9-a

When a claim filed pursuant to this chapter is against both the state and an agent, official or employee of the state, the court shall determine whether the state is responsible for the actions of the agent, employee or official. If the court determines that the state is responsible for the actions of the agent, employee or official; the agent, employee or official shall be dismissed as a defendant and the plaintiff shall proceed solely against the state.