_May 3rd._--The Duke of Bedford came here this morning. They now find there are immense difficulties in the way of abolishing the office of Lord-Lieutenant at present; they are assured that if it was proposed the Repealers would raise a furious clamour and be joined by the Orangemen. Some Irishman (he did not tell me who), a sensible man and favourable to the abolition, tells him and Lord John this, consequently Lord John has told the Duke that _his_ going there would be the only solution of the difficulty. This difficulty, he says, is enormous and increasing; that everything tends to prove that dangers are thickening round them, and that next year they will have to propose measures that will be very unpopular. Bessborough has dictated to Lord John a most affecting letter; his daughter, Lady Emily, wrote also, saying that her father was so weak that he was scarcely intelligible, and she was not sure she had quite faithfully written what he had dictated, but that she had given the substance of it as well as she could. He tells Lord John that the dangers and difficulties are very great, and that he foresees their increase, and he expects him to appoint a man to succeed him who shall be firm and bold, and, above all, who will not seek for popularity. I found the Duke most unwilling, and almost, but not quite, decided not to go. He will go if Lord John insists on it, but he dreads and shrinks from it; neither his health, nerves, nor spirits are equal to such a task. The principal reason for his going is, that he alone can go temporarily, and Lord John does not contemplate his remaining. Lord John says he cannot ask Clarendon to go on account of the expense, unless he was to stay there for three years. He says that not one of the men who have been mentioned will do for the office, especially Morpeth; and he thinks Bessborough's warning as to the sort of man they ought to choose was intended to point at Morpeth as the one they ought not to appoint. Morpeth himself is longing to go. 'It is now come to this,' the Duke said: 'it must be either Clarendon, myself, or Lords Justices.' He went from me to Clarendon to talk it over with him. Grey and Labouchere are the only members of the Cabinet to whom he has mentioned the matter. The Duke has had a long confidential letter from Arbuthnot about the Duke of Wellington, and his dread of Grey and his reforms, the object of it being to deter the Government from attempting anything else. It is clear they have dragged the Duke with them as far as he can be persuaded to go, and if they try anything more, and make any further attempts on his patience or condescension, he will then turn restive and resign. [Sidenote: DEATH OF LORD BESSBOROUGH.]