A great art and industrial exhibition at Dublin--the first of the numerous progeny of the Great Exhibition of two years before--was held this year. Naturally, the Queen and the Prince were much interested in its fortunes, and had promised to be present at the opening, but were prevented by the outbreak of measles in June. It was possible, however, to visit the Irish Exhibition before its close, and this her Majesty and Prince Albert did on their way to Balmoral. Proceeding by train to Holyhead, where they were detained a day and a night by a violent storm, the travellers sailed on the 29th of August for Kingstown, which was reached next morning. On landing they were received by the Lord-Lieutenant, Lord St. Germains and Lady St. Germains, the Archbishop of Dublin, the Duke of Leinster, &c., &c., together with an immense number of people, lining the dock walls and hailing her Majesty's arrival with vociferous cheers, as on her last visit to Ireland. Enthusiasm, equal to what had been shown before, was displayed on the railway route and the drive through the thronged streets to the Viceregal Lodge. Not long after her arrival, the Queen, as energetic as ever, was seen walking in the Phoenix Park, and in the evening she took a drive in the outskirts of the city. At night Dublin was illuminated. The next day the Queen and the Prince, with their two elder sons, paid a State visit to the exhibition, full to overflowing with eager gazers. The royal party were conducted to a dais, where the Queen, seated on the throne prepared for her, received the address of the commissioners thanking her for the support she had lent to the undertaking by her presence, and by her contributions to the articles exhibited. The Queen replied, expressing her satisfaction that the worthy enterprise had been carried out in a spirit of energy and self- reliance, "with no pecuniary aid but that derived from the patriotic munificence of one of her subjects." That subject, Mr. Dargan, who had erected the exhibition building at his own expense, was present, and kissed hands amidst the cheers of the assembly. The Queen and the Prince afterwards made the circuit of the whole place, specially commending the Irish manufactures of lace, poplin, and pottery. In, the afternoon her Majesty and Prince Albert, to the high gratification of the citizens of Dublin, drove out through pouring rain to Mount Annville, the house of Mr. Dargan, saw its beautiful grounds, and conversed with the host and hostess. His manner struck the Queen as "touchingly modest and simple," and she wrote in her journal, "I would have made him a baronet, but he was anxious it should not be done." Every morning during their week's stay the royal pair returned unweariedly to the exhibition, and by their interest in its productions, stimulated the interest of others. The old engagements--a review, visits to the castle, and the national schools--occupied what time was left.