This scheme was rejected by Bragg on the 19th, after consultation with the President and the Secretary: the latter indorsing his concurrence in the rejection, the President not committing himself in writing. But Beauregard was ordered to attack Butler without delay, which was done, and successfully; but he was not crushed, and still threatens our railroads with a portion of his army, while the rest has been sent to reinforce Grant.

Nevertheless, Beauregard is here with some 20,000, and Lee did fall back to the defenses of Richmond.

Congress has passed a bill increasing the compensation of themselves 100 per cent. Perhaps they will not adjourn now, but remain and await events.

Senator Hunter and the Secretary of War promenaded the Square yesterday afternoon in a long “confabulation,” supposed by some to relate to political matters.

5 o’clock p.m.—Heavy and quick cannonading heard some eight or ten miles east of the city. It continued until night, when it was raining and cold; and Custis had no blanket, not anticipating such a change.

June 3d.—Raining gently, and cool.

As early as 4 a.m. there was an incessant roar of artillery, the vibrations of which could be felt in the houses. It could be heard distinctly in all parts of the city. And ever and anon could be distinguished great crashes of musketry, as if whole divisions of infantry were firing at the word of command. It continued until 11 o’clock a.m., when it ceased. A dispatch from Lee stated that his line (behind breastworks, center and left) had been repeatedly assaulted, and every time the enemy was repulsed. The attack, it was supposed, was made to check a flanking movement made yesterday afternoon, by Gen. Ewell, on the enemy’s left, to cut his communications with the White House, his base of supplies. No doubt the slaughter has been great!

The dispatch from Beauregard indicates that he may be still on the other side of the river. It may be a ruse de guerre, or it may be that the general’s enemies here (in the government) are risking everything to keep him from participation in the great battles.

Mr. Hunter, being short and fat, rolls about like a pumpkin. He is everywhere, seeking tidings from the field. It is said the enemy, at last, has visited his great estates in Essex County; but he’ll escape loss “by hook or by crook.” He has made enormously by his crops and his mills: nevertheless, he would sacrifice all for the Presidency—and independence.

The President, yesterday, forbade details from the Department Battalion to remain in the city.