On Thursday, the 2nd of May, the following statement appeared in the evening papers:—“We are authorised to state, that a meeting took place this morning between the Duke of Bedford and the Duke of Buckingham, accompanied by Lord Lyndock and Sir Watkin Williams Wynn, in consequence of words uttered by the former at the Bedford County Meeting. Both parties fired together at the distance of twelve paces, on a word given, but without effect; when the Duke of Buckingham, observing that the Duke of Bedford fired into the air, advanced to his Grace, and remarking, that for that reason the thing could go no further, said, ‘My Lord Duke, you are the last man I wish to quarrel with; but you must be aware, that a public man’s life is not worth preserving unless with honour.’ Upon which the Duke of Bedford declared, ‘upon his honour, that he meant no personal offence to the Duke of Buckingham, nor to impute to him any bad or corrupt motive whatever.’ The parties then shook hands, and the whole business was terminated most satisfactorily.” The following are the words used by the Duke of Bedford at the County Meeting:—“He would now advert to another transaction which he was almost ashamed to mention: he alluded to a great borough proprietor, now a noble duke, whose services, and the services of whose adherents in parliament, had been purchased by Government by conferring high offices on those adherents. It was an odious thing to mention these circumstances, but he introduced them for the purpose of asking whether, if a reform had been effected, such transactions could possibly happen? The noble duke’s family and connections were, of course, sent back to their constituents, when they accepted of place; because, when a member of the House took office, he must return to his constituents, to know whether they would re-elect him. But how were the individuals in question sent back? They were not sent back to the people of England; they were not sent back to those who were free to choose or to reject them: no, they were sent back to the borough proprietor, to their own patron, to the person who had engaged in the corrupt traffic; who had, in fact, made the bargain with Ministers. He would again ask, could such a circumstance possibly occur, if a reform were effected in the Commons’ House?” The Duke of Buckingham addressed a letter to the Duke of Bedford, demanding whether this language was used in allusion to him. The Duke of Bedford answered that it was, and that he stated the facts because he believed them to be true. A challenge was, in consequence, sent and accepted. The duel took place in Kensington Gardens, at a retired spot previously fixed upon. The Duke of Bedford left St. James’s-square, at half-past seven on Thursday morning, accompanied by Lord Lyndock, and drove directly to Kensington Gardens; where the Duke of Buckingham arrived about the same time, attended by Sir Watkin Williams Wynn.