We all, except Mr. Shields, arrived in Springfield late at night on Monday. We discovered that the affair had, somehow, got great publicity in Springfield, and that an arrest was probable. To prevent this, it was agreed by Mr. Lincoln and myself that he should leave early on Tuesday morning. Accordingly, he prepared the following instructions for my guide, on a suggestion from Mr. Butler that he had reason to believe that an attempt would be made by the opposite party to have the matter accommodated:—

In case Whiteside shall signify a wish to adjust this affair without further difficulty, let him know, that, if the present papers be withdrawn, and a note from Mr. Shields asking to know if I am the author of the articles of which he complains, and asking that I shall make him gentlemanly satisfaction if I am the author, and this without menace or dictation as to what that satisfaction shall be, a pledge is made that the following answer shall be given:—

"I did write the 'Lost Township' letter which appeared in the 'Journal' of the 2d inst., but had no participation in any form in any other article alluding to you. I wrote that wholly for political effect. I had no intention of injuring your personal or private character, or standing as a man or a gentleman; and I did not then think, and do not now think, that that article could produce, or has produced, that effect against you; and, had I anticipated such an effect, would have forborne to write it. And I will add, that your conduct towards me, so far as I knew, had always been gentlemanly, and that I had no personal pique against you, and no cause for any."

If this should be done, I leave it with you to manage what shall and what shall not be published.

If nothing like this is done, the preliminaries of the fight are to be:—

1st, Weapons.—Cavalry broadswords of the largest size, precisely equal in all respects, and such as now used by the cavalry company at Jacksonville.

2d, Position.—A plank ten feet long, and from nine to twelve inches broad, to be firmly fixed on edge on the ground as the line between us, which neither is to pass his foot over upon forfeit of his life. Next, a line drawn on the ground on either side of said plank and parallel with it, each at the distance of the whole length of the sword and three feet additional from the plank; and the passing of his own such line by either party during the fight shall be deemed a surrender of the contest.

3d, Time.—On Thursday evening at 5 o'clock, if you can get it so; but in no case to be at a greater distance of time than Friday evening at 5 o'clock.

4th, Place.—Within three miles of Alton, on the opposite side of the river, the particular spot to be agreed on by you.

Any preliminary details coming within the above rules, you are at liberty to make at your discretion; but you are in no case to swerve from these rules, or to pass beyond their limits.