ROBERT ADAMS, living in a miserable hovel in Brooks’-market, Holborn, and working as a shoemaker. He some time since was a private in the Royal Horse-guards, in which regiment he served for five years. He very much resembles Thistlewood in his person, but has a cast in his left eye. In addition to these arrests, several warrants were issued, among which was one against a native of France. The lodgings of Thistlewood, and of all the others who were taken into custody, were searched, and several important papers, and quantities of arms, were discovered and seized. Among those found in Thistlewood’s apartment was a copy of the bill furnished to Dr. WATSON by Mr. Ottley, owner of the Crown and Anchor Tavern, in the Strand, for the expenses of the dinner given to Hunt, on his return from Manchester. Judging from his former connexions, it may be considered as fortunate for the Doctor that he was not able to liquidate this debt, being at the time of the arrests an inmate of Whitecross-street prison on account of this bill, and thus saved from the temptation of joining his former associates. It is a singular fact, that when Thistlewood was arrested, he had not a farthing of money in his possession. The same observation may be made with respect to his comrades, all of whom were in the most wretched state of poverty. We will here suspend for a time the particulars of the proceedings against the Conspirators, for the purpose of recording the proceedings of the CORONER’S INQUEST on the body of RICHARD SMITHERS, the unfortunate Bow-street officer, who was murdered, as before stated, when in the execution of his duty, in Cato-street. The inquest was held on Friday the 25th February, at the Horse and Groom public-house, John-street, Edgeware-road, which is situated but a few yards from the spot where the atrocious deed was perpetrated. In the course of the day great numbers of persons visited the miserable building which the Conspirators had selected as the scene of their deliberations, and one universal feeling of horror and detestation against Thistlewood and his infamous associates appeared to actuate the multitude. The Coroner for the county of Middlesex, THOMAS STIRLING, Esq., having arrived, and proclamation having been made by the beadle of the parish of St. Mary-le-bone, that the Jury summoned should proceed to inquire “when, how, and by what means, Richard Smithers came by his death,” the Jury were sworn. The foreman of the jury observed to the coroner, that he and his fellow-jurors wished to inspect the body in the presence of the surgeon, in order that he might be ready to answer any question that might arise on the moment. This suggestion was complied with; and on the return of the jury from viewing the body,