The following account of the execution is from a Richmond paper:

"At eleven o'clock yesterday forenoon, a detail of one hundred men from the City Battalion, marched from Castle Thunder with Spencer Kellogg, the recently condemned spy, in custody.

"The cavalcade reached the scene of execution about half-past twelve o'clock, where, as usual, a vast concourse of people, of both sexes and all ages, were congregated. After a few moments spent in preliminary arrangements, the prisoner was escorted, under guard, to the gallows. While seated in the hack awaiting the perfection of the arrangements for his execution, he conversed freely with the utmost nonchalance with Dr. Burrows, frequently smiling at some remark made either by himself or the minister.

"Arriving under the gallows, the charges preferred against the accused and the sentence of the court-martial were read. A short but impressive prayer was then offered by the minister, at the conclusion of which the condemned man, unaccompanied, mounted the scaffold.

"In a few moments Detective Capehart followed, and commenced to adjust the rope over the neck of the condemned, in which he assisted, all the while talking with the officer. On taking off his hat, to admit the noose over his head, he threw it one side, and falling off the scaffold, it struck a gentleman beneath, when the prisoner turned quickly, and bowing, said: 'Excuse me, sir!'

"A negro next came on the scaffold with a ladder, and proceeded to fasten the rope to the upper beam, the prisoner meanwhile regarding him with the greatest composure. The rope being fastened, the negro was in the act of coming down, when the prisoner, looking up at the rope, remarked: 'This will not break my neck! It is not more than a foot fall! Doctor, I wish you would come up and arrange this thing!' The rope was then rearranged to his satisfaction, and the cloth cap placed over his head.

"The condemned man then bowed his head, and engaged a few seconds in prayer, at the conclusion of which he raised himself, and standing perfectly erect, pronounced in a clear voice: 'All ready!'

"The drop fell, and the condemned man was launched into eternity!"

Kellogg is said by his captors to have died with the conviction that he had furnished more valuable information, in the character of a spy, to the Federal government than any other ten men in the service. But this has been denied by his friends at the North, who assert that he was innocent of the charge.

With baseless rumors of a soon-to-be-effected cartel of exchange; the drawing of lots for the selection of hostages, upon whom the Confederacy proposed to retaliate for the punishment inflicted upon three Confederates by the Federal authorities who had sentenced them to imprisonment in the Illinois State Prison; listening to yarns spun by real or pretended veterans; playing games of chance; holding spirited debates; reading letters from home; occasionally poring over the newspaper procured by stealth; or meditating plans of escape—the balance of the year 1863 wore on to its close, and still Willard Glazier was a prisoner of war, with no prospect whatever of a speedy release. Then came New-Year's Day, 1864, and some little attempt was made to get up a New-Year's dinner—though no extra rations had been issued. They did their best, however, like Mark Tapley, to be "jolly under unfavorable circumstances."