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in Mexico; good deal Of snSfnisB as to the manner ot choosing this high fpnclionary, m the present instance. By the constitution, The plan bf electing the President is some what similar to that of our own country: each State in Mexico, through its .4ssembiea UePdrDaental or State Legislature elects it's candidate Tor Chief Magistrate from among the different names offered by the members. Lhis note IS carefully sealed aud sent on to the capital, and when ali are counted the in- dlviduai who has the vote of the greatest fnumber of States is declared duly electcsi. Such IS about the amount Of the law in re- lasion to the matter; yet it Is known that in September last the Congress of the Republic, Tn an extraordinary session, chose Santa An 1 na President and Gomez Farias Vice Presi- dent, and the same Congress, in the present distracted state of the country, may do the same again. If the high functionaries are chosen according to the constitution there are several Shtcs--Vera Cniz, Tamaulipas, Npeva, Leon, Coahulia, Chihuahua, Nueea Mexico, Upper California, and perhaps one or two others--which can take no part in the election from the fact that they are oc- cupied by our troops. We shall know all about this matter in the course of a few days, and the meantime l can inform you that there are many intelligent and thinking Mexi- cans here who believe that Herrera will be elected, but perhaps with them the wish is father to the hope.

 The advent Of the American troops iu any part of this country gives the population of the towns and cities two separate and distinct frighis the first is when they hear of the approach of s'ios Yankees for such have been the reports circulated by the Govern ment that they honestly believe that their houses are to be robbed, their wives and daughters violated, and every species of out rage committed; the second fright is when they hear that the Americans are to leave 1 them, for they soon learn that their trade IS better, that they have greater protection, and that the laws of strangers are more whole some, liberal and give greater safety than they have ever enjoyed under their own. They have been buying and selling, too, 1 have been trafficing with the Americans, con- 1 trary to the express injunctions ofther rulers, and now 1t is their own people, their own lawless and half fed soldiery, that they real ly fear the most. A day of sorrow will that be for Mexico when the Americans leave 1t, although for one believe that that day IS far distant. As long as the military ehod supremacy in the country our armies cer- tainly cannot evacuate 1t.

 Mir. Trist is still here, although the object of his mission is kept secret. In what ca pacity he comes-wheiher as a commission CT of peace, as an agent to settle terms, or with whatever authority cloihed-the mil lion are certainly none the wiser. h the lan- guage of Dount Monlalban in the "Honey Moon," they look upon the whole affair as I "-a riddle,

 Which he who soIv'd the Sphynx's might die

 guessing"

 might give you column of speculation upon this mission, and very likely hit upon many truths Is so doing, but have neither the time nor inclination al present to say more than that believe that the hard blows ot 10000 regulars will have more efectin bring ing these people to their senses, than all the soft words an equal number of diplomats could shower upon them.

 The train which started up under escort of Capts. Walker and Ruff arrived yesterday, and it IS now said that an onward movement to-morrow has been decided upon. A great excitement has been caused here on it's be- ing ascertained that no less than twelve wa gon loads of su,ler's stores had been found scattered through the train, to the great detrl- meni of the service. Arrests are talked of, and suppose that several will take place Many essentials for the use of the army were absolutely left behind to make room for the goods and baggage of private individuals.

 Gen. Shields has had bad attack of the pleurisy, and strong fears for his recovery were at first entertained but yesterday he improved, and to-day am pleased to learr that he is decidedly better.

 No news as yet from Gen. Worth, at least nothing positive Yours, Sc, G. w.K. P. S.-Il o'clock. .4. .M-The stage is just in from Puebla, but have little time to collect and write of the news. All was quie, at Puebla, and the people appeared to be we'll enough satisfied under Gen. Worth

 Santa Anna, it is said did not stop al San Martin, bu, kept on towards the capital after his lancers had been defeated this side of PuebIa by Gen. Worth. There is report that Gen. Valencia. with l4,000 men, is to meet our army this side of Mexico, but there are so many reports that we can make httle out ol them. EIIoriaga Is certainly talked of for the presidency. Besides Herrera, fl is said that Ellefiaga is talked of as candate for ihe presidency It may be IecolIectcd that the later made close run with Santa Anna for the same office at the lest elections He bears an excellent character among the foreigners, and il is thought Is in favor of peace with the United States. He is not military man, and that IS saying good deal for him.

 l AUCTION OF LADiEs-An suction of uii- married ladies used to take place annually m Babyion.--''ln every district,'' says the hs- iolian, ''they assembled on a certain day of