Where it appears, by the return, that a fine remains uncollected, and it does not appear that the sheriff has the delinquent in custody, the district attorney must, if he has good reason to believe that the sheriff might, with due diligence, have collected the fine, or arrested and detained the delinquent, commence an action against the sheriff, in the name of the people. Otherwise he must direct the clerk to issue a new warrant, or to include the fine in the schedule, annexed to the next warrant, to be issued by him. A new warrant may, from time to time, be issued, or the fine may be included in the schedule annexed to a subsequent warrant, until it is collected.
N.Y. Jud. Law § 794