From fhe .Neac Orleans Picaune.

 FprfsRner-.
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The following letter from Col Marshall was enclosed to us from Vicksburg, and re- ceived only yesterday. It gIves the particu- prisoners after the battle of Bnena Vista, and exhibits, in conspicuous light tie gross perfidy of the Mexican Government Tn de- iaining the Encarnation and other prisoners taken previous to that battle. Col Marsha|l's suggestion of retaliatory measures is just and proper. though we doubt if such will be enforced, unless Govcrnmen, gives instrmc- sions to that effect:

 NEw. ORLEANS, June ', IS iT. To the Editors of ihe Picaygns have been requested 10 staie what know touch ing the exchange of prisoners between the Mexican chief and the American general, af- ter the battle of Buena Vista, inasmuch as il preiended by some that no provision was made for the release of Majors Gaines and Borisnd, and the officers and men under their command. 4S

 Iknow that when Maj. Bliss returned from the Mexican camp on the night of the 24th February, he vas accompanied by Captain Faulaco, to whom l was introduced in our camp on the morping of the 25.h. (Il may have been the 26lh.) His business was To enter iuto the preliminsEies for the exchange. was called upon to furnish the list of the officers and men of my regiment who were prisoners, and did so. conversed with Faulaco as to the situation of the prisoners. He told me ,ha. Maj. Gaines's party was in Mexico, but ii was probable Capt. Heaay's patty was in San Louis. He accepted the list, copied, think, by Col. Churchill. 4 list of Mexicans was made out, who were then gwen ap ss equivalents for tl,e Ameri- cans to bs released, and Caps. Faulaco, as seeretsry and agen. for Gen Santa Anna, as. sured Col. Churchill and mysslE. and sflsr- wards heard him relate the same assurance to Maj. Gen. Taylor, in the presence of Gen. Wool, and Gen, Marshall and myself, that so soon as the express could reach Mexico. all the persons whose names were borne on the list furnished should be immediately relea- ssd and would be shipped from the mos, eoavenieEt Mexican port, without delay, for the United States. Under the force of this pledge an adjutant general oi the Mexican army, several commissioned officers, and B large number of Mexican soldiers rstsraed 10 de Mexieaa camp, amd soers, as sseR re- Ieased aad unchanged for, received by the Mexican general. Capt faulaco was the sec- retasy oi Gen. Santa Aans. and came 10 ouf camp with such vouchers ss enable cur gea- ersl 10 regard his authority as perfect, and Il