Charles W. J---- is a member of Company K, One Hundred and Twenty-First New York Regiment, and he has been transferred to this company and regiment from Company F of the Sixteenth New York. He has been thus transferred for the reason that the Sixteenth New York is a two years' regiment, whose time has expired, while he is a three years' recruit, who has a year or two more to serve. Now he claims that pay is due him from November 1, 1863, to August 1, 1864, and that he needs his pay very much to send home to his wife. He represents that he was at Schuyler Hospital from the time he left the ranks until December 17, 1863; that then he was sent to Convalescent Camp, New York Harbor; and on December 29 to Camp of Distribution at Alexandria; whence, February 8, 1864, he was brought to Staunton Hospital, Washington, where he now is. He has never joined his new regiment, has only been transferred with others to its rolls. His new officers have never seen him, and do not know where he is. The relief agent hears the story and then sets about proving all its details: first, that the man was a member of the Sixteenth New York Regiment; second, that he has been transferred to the One Hundred and Twenty-First Regiment; third, that he has never been paid beyond November 1, 1863; fourth, that he has really been in the various hospitals and camps which he mentions. This evidence is procured by writing to agents and surgeons at convalescent and distributing camps, and at Hospital Schuyler, and by examining the rolls of the Sixteenth and One Hundred and Twenty-First Regiments. In a few days or weeks the man's story is proved to be correct, and he is put into a position to receive his pay,--a satisfaction not simply in a pecuniary sense, but also to his soldierly pride, by removing an undeserved charge of desertion. Now I beg my readers not to imagine that this is a difficult case. At the Relief Rooms they treasure up and mysteriously display, much as I suspect a soldier would flaunt a captured battle-flag, a certain roll of paper, I dare not say how many yards long, covered with certificates from one end to the other, obtained from all parts of the country and from all sorts of persons, and all necessary in order to secure perhaps a three or six months' pay of one sick soldier. The correspondence of the back-pay department is itself a burden. From thirty to forty letters on an average are received daily at one of its offices. They are written in all languages,--English, German, French,--and must be read, translated, and the ideas, conveyed often in the blindest style, ascertained and answered.