Contested Election.

Agreeably to the order of the day, the Senate resumed the consideration of the report of the committee on the petition of Conrad Laub, and others, respecting the election of Mr. Gallatin to be a Senator of the United States.

The report of the committee states the evidence, and concludes with an opinion, that to controvert the allegations set forth in the petition against Mr. G., it lays with him to prove his citizenship.

Accordingly, Mr. G. presented a written statement of facts which the President of the Senate read. It contained a narrative of several transactions from the time of Mr. G.'s arrival in the province of Maine, or Massachusetts, about thirteen years ago. Of his having contributed by money and his own services as a volunteer, in the cause of the revolution. Of his having taken oaths of allegiance and purchased lands in that State, and also in the State of Virginia. In the back parts of the last-mentioned State, he had formed an interesting settlement, and had been extremely useful in bringing settlers from Europe. The dates of those transactions and times of his arrival in Pennsylvania, and of being sent to the State Convention, are also recited, up to the time of his being chosen one of their Representatives in the Senate of the United States.

After the President had done reading the statement of facts, Mr. G. addressed the Senate, by observing, that he felt himself rather in an awkward predicament, not knowing whether the counsel for the prosecutors or himself were the proper person to speak the first, as this preliminary was not yet laid down by the Senate, neither had he provided any counsel. He should have supposed himself in the situation of defendant, were it not that the weight of proving the affirmative in regard to citizenship had been laid on him, under which predicament it might perhaps be necessary for him to begin, and after the counsel for the petitioners had spoken, that he should then be allowed to close the arguments.

Mr. Livermore was of opinion, that the sitting member should begin to debate, as the onus probandi lay with him.

The counsel for the petitioners, Mr. Lewis, rose. He was attended by Mr. Schmyser, one of the members of the Senate of Pennsylvania, who, we understand, manages the prosecution on the part of the petitioners. Mr. L. hoped he would be permitted to say a few words in the early stage of the business, in regard to the manner of conducting it. He recapitulated sundry offices and posts of honor that had been conferred on him, from which he humbly presumed he had gathered much experience, and particularly in cases of contested elections. He would, therefore, beg leave of the honorable Senate, to offer an observation before they should determine on the mode of conducting the trial. When the question for postponement, which was debated the other day, was before them, the sitting member did then consider himself as defendant, and for an hour had fought phantoms of his own imagination, but now he has changed his ground, and desires to have the privileges which belong to the petitioners only, namely, the right of opening the prosecution, and afterwards concluding the arguments.

Mr. Gallatin submitted to the decision of the Senate, and said he did not wish to contend for mere matters of form.

Mr. Martin (from N. Carolina) thought it immaterial who began or concluded, if in the end the Senate should be enabled to arrive at a just degree of information.

Mr. Jackson (from Georgia) made some observations on the manner of conducting the business. He thought it would be incumbent on the counsel for the petitioners to prove that Mr. Gallatin was not a citizen, &c.