N.H. Rev. Stat. Ann. § 236:47

If the selectmen shall neglect or refuse after 30 days to decide and make return of their proceedings upon any petition addressed to them under the provisions of the preceding section, or if any party whose interests are affected by such decision is dissatisfied therewith, the petitioner or party so dissatisfied may apply to the superior court for relief within 60 days thereafter; and like proceedings shall thereupon be had as in the case of appeals from the laying out of highways by selectmen.