19 JANUARY 1861, Page 5

IRELAND.

A correspondence, originated by the Lord Mayor of Dublin with the Earl of Carlisle, on the threatened abolition of the Lord-Lieutenancy of Ireland, has been published. The Lord Mayor asks the Lord-Lieutenant to make such a communication as will "allay the anxiety which gene- rally prevails on this subject." The Lord-Lieutenant says- " My dear Lord Mayor—I have been favoured with your Lordship's let- ter, inquiring whether there is any truth in the report that her Majesty's Government intend to introduce into Parliament, in the ensuing session, a measure for the abolition of the office of Lord-Lieutenant of Ireland. I have to state in reply, that I have the best reasons for believing that any such report is entirely destitute of foundation.

Mr. Baron Greene has resigned his office as one of the Judges in the Exchequer; his health will not permit him to retain it longer.

Various reports are in circulation as to the successor of Mr. Baron Greene. The name of Mr. Brewster, Q.C., is mentioned, and also that of Mr. Deasy, the Irish Attorney-General, whose seat for Cork is thought to be somewhat insecure. Mr. O'Hagan, the present Solicitor-General, would thus become Attorney-General ; he is, perhaps, the most popular man in Ireland. The solicitors of the North-East Court have just pre- sent:el him with a service of plate.

Mr. Lawson, it is stated on the authority of the Magnetic Telegraph Company, is to succeed Mr. Baron Greene ; "the Government cannot spare Mr. Deasy."

It is stated by those in the confidence of the Ultramontanes, that Dean Mayler, menaced with suspension by Archbishop Cullen, has determined to resign his commissionersbip. Several lay Roman Catholic members of the board, it is confidently believed, will follow his example, from influence brought to bear upon them.

Mr. Callaghan, his wife, and a servant girl, were murdered at Ballymote, Sligo, on Tuesday week. Mr. Callaghan kept a grocer's shop which, not being opened as usual on Wednesday, was entered by neighbours. Mr. and Mrs. Callaghan were found iu bed with their throats cut, and the servant girl in an outhouse with her throat also cut from ear to ear. Matthew Phipps, a young man, has been committed for trial. The first finger on his left hand is much cut, as if by some sharp instrument ; several bank-notes, stained with blood, were found on him. His shirt is greatly stained with blood ; three razors were also found on him.