Quotes a letter from General Hamilton, who agrees with McHenry that soldiers who apprehend deserters should be rewarded for doing so, as it would make them "zealous, and active in the search," and avoid expense in other means of catching deserters. Gives the account of Hugh McAllister, who received a certificate of entitlement to $10 reward after delivering a deserter to a captain of the 2d Regiment of Artillerists & Engineers at Carlise, Pennsylvania. Notes that Simmons refused to honor this certificate. McHenry is following the president's request that he investigate the matter. Asks that Simmons and the Comptroller of the Treasury investigate whether the resolution in the Appendix to the Articles of War, quoted by Hamilton, can allow for private citizens to be entitled to advertised rewards if they apprehend and deliver deserters.