From Kansas, Democratic Convention at Lecompton

Yesterday a Convention of the National Democratic Party of the Territory of Kansas met at Lecompton, and nominated candidates for Delegates for Congress. The assemblage was large. Judge ELMORE presided.

The first day was occupied with a discussion of the propriety of electing one of two Delegates from Atchison County, both of whom claimed the seat. The difficulty had its origins in the determination of some of the people of that County to start as a candidate, in opposition to Dr. STRINGFELLOW, (to whom the regularity appointed delegation was pledged,) a gentleman named CAPE, from South Carolina.

Mr. CARR’S name was finally withdrawn by his friends. Dr. STRINGFELLOW then refused to be put in nomination, and the contest lay between Governor RANSOM, lately of Michigan, and Hon. ELY MOORE, once of New York. On the fifth ballot, Gov. RANSOM, who, as well as his competitor, is a Northern Democrat, was elected by a two thirds vote. The Convention then reaffirmed the resolutions of the Democratic Convention if January last; passed resolutions expressive of a determination to support Gov. WALKER in his efforts for the preservation of the peace of Kansas, and indorsed his policy on the subject of the Indian lands, and his suggestion for advancing the material interests of the country.

A resolution was offered by Mr. JENKINS, a strong Pro-Slavery man, in favor of the adoption of a State Constitution, to be passed by a Constitutional Convention, whether submitted to the people for ratification or not. This resolution was warmly opposed, and was finally voted down by a vote of forty to one. This is regarded as a signal triumph by the moderate Democracy and the Democratic Free-State men, who now regard the success of the Party and its nominee as certain.

A man was murdered a day or two ago at Leavenworth. The affair grew out of political difference. It is reported at Lecompton that no provocation whatever had been given the person who committed the deed. He was immediately apprehended by the people and confined in Fort Leavenworth. It is now expected that his friends are going to rescue him. Some difficulty is apprehended, though I expect none.

C.

FROM THE REPORTER FOR THE ASSOCIATED PRESS.

ST. LOUIS, Monday, July 6.

At the Democratic Congressional Convention at Lecompton, Kansas, a resolution to the effect that the Democracy will adopt the Constitution to be framed by the Constitutional Convention, whether that Constitution be submitted to the people or not, was lost by a vote of forty to one.

An unpublished letter in the Republican says the Democratic Convention, which met at Lecompton on the third, was composed of a majority of Pro-Slavery men; but that the whole Democratic party will support WALKER’S inaugural, and the submission of the Constitution to the people. Resolutions were passed adopting the Cincinnati Platform, and assuming that the name “National Democracy of Kansas,” embraced all Democrats, whether from the North or the South. Governor WALKER was invited to address the Convention, which he did with great effect. RANSOM’s election is regarded as certain.