N.H. Rev. Stat. § 231:166
If the selectmen or the board of mayor and aldermen or other board having authority to locate poles and wires in cities, or the commissioner of transportation, shall neglect or refuse to decide and make return of their proceedings upon any petition authorized hereby within the times limited by RSA 231:164, or if any party whose interests are affected by their decision on any such petition or in granting a license, changing the terms thereof, or revoking the same, is dissatisfied therewith, the petitioner or party so dissatisfied may apply to the superior court for relief within 60 days after the expiration of the times limited by RSA 231:164 or after such decision; and like proceedings shall thereupon be had as in the case of appeals from the laying out of highways by selectmen.
RSA 231:166
1881, 54:7. PS 81:9. 1897, 16:1. PL 97 :10. 1935, 100:1. 1937, 102:3. RL 113:7. 1945, 188:1, part 24:7. RSA 254:8. 1981, 87:1. 1985, 402:6, I(b)(3).