N.H. Rev. Stat. Ann. § 104:19

At each term of the superior court the sheriff shall deliver to the county commissioners a list of the warrants or other process for fines, forfeitures or costs, delivered to him by the clerk before the term, and then uncollected without fault on his part, and shall return them to the clerk for renewal. For any neglect to deliver such list or to return such warrants or other process he shall forfeit $50.