N.H. Rev. Stat. Ann. § 383-A:3-320

Any state bank that intends to use a name in the conduct of its business that differs from the name of the state bank shall be required to obtain the approval of the use of the name from the commissioner before registering the name with the secretary of state. The approval shall accompany an application to register the name with the secretary of state. A state bank shall not have or use a name that is likely to mislead the public concerning the nature or scope of its powers or purposes.