* * * * * Public Office, Bow Street. Yesterday morning another investigation took place, before Richard Birnie, Esq., respecting the cause of the death of Lieutenant Edward Bailey, of the 58th regiment. Mr. George Rodd, the surgeon of Hampstead, who had omitted to attend the examination on Monday evening, attended yesterday morning, and stated, That he was sent for on Monday morning, with great speed, to go to Mr. Adams’s house in Ingram’s Lane, to attend a gentleman who had been severely wounded. He arrived at Mr. Adams’s house about ten o’clock, where he saw a gentleman, who had been wounded, lying on a sofa. He proceeded to examine the wound, and he found a ball had penetrated on his right side, very nearly in a line with his navel. He proceeded to examine him on his left side, when he discovered that a ball was resting between his skin and the muscles. He succeeded in extracting the ball from the wound, and then dressed it. The three gentlemen, who are the prisoners, were present in the room at the time he examined the wounds of the deceased. After Lieutenant Bailey died, he opened the body, and found his intestines had been wounded in three different places, and which he had no doubt had caused his death. Mr. William Adams, who has acted so humanely in this unfortunate transaction, attended again, and stated, in addition to the testimony which he gave on Monday evening,—That after the deceased had called Mr. O’Callaghan to him on the sofa, and shook hands with him, and said everything had been conducted in the most honourable manner, and that he forgave him, he asked Mr. O’Callaghan if he would have done the same by him if he had wounded him? To this Mr. O’Callaghan replied, most certainly he should have acted as he had done; and followed up the observation by saying, “I wish I had been wounded instead of you.” Mr. O’Callaghan appeared much affected, and said, “You touched me in the first fire we had on one of my legs, by what is called a graze.” He then exhibited his trowsers and boots; when it appeared, that a ball had passed through both the legs of his trowsers, and one of his boots. He saw the deceased, Lieutenant Bailey, shake hands very heartily with Mr. O’Callaghan, previously to their parting. The three prisoners were ordered to be detained in custody. On the application of an attorney engaged for the prisoners, Mr. Birnie agreed to their undergoing another investigation previous to their commitment for trial; and the attorney wrote to Mr. Adams, requesting it as a favour that he would attend again last evening at 7 o’clock, at which hour the three prisoners were brought again to this office; and Mr. Birnie having taken his seat on the bench, Mr. Nolan, Mr. Arabin, and another barrister, whose name we understood to be Gould, presented themselves to the magistrate in behalf of the prisoners.