The Queen and Prince Albert, on their return on Thursday week from the Chateau d'Eu, were accompanied by the Prince de Joinville, who remained to dine with the Royal party, and then returned in the evening on board his yacht, for the coast of France. After a few days' repose, her Majesty and the Prince started on another marine excursion. They sailed from Brighton on Tuesday morning, passed Dover, and arrived off Deal about three o'clock, where the Royal yacht anchored, in order to receive the Duke of Wellington, who came from Walmer Castle, and dined with her Majesty on board, a large number of vessels, gaily decked with flags, as well as crowds on shore, giving animation to the scene. The Duke remained with her Majesty and Prince Albert upwards of two hours, and during the time he was on board, the wind, which throughout the day had been blowing rather fresh from the northward and eastward, had considerably increased, and her Majesty, upon the Duke's taking his leave, evinced very great anxiety respecting the safe landing of his Grace. Everybody who knows this coast is aware that when the wind is blowing at all from the eastward that there is a very heavy surf on the beach, and consequently great difficulty in landing. His Grace, however, on thanking her Majesty for the concern she evinced on his account, made light of the matter, and returned on board the Ariel, which brought him as near the shore as possible; here he got into the barge and rowed towards the beach. The swell was too great to admit of his landing at the pier, from which he had started, and the boat was pulled towards the naval yard, where the surf was not so great as at any other part of the shore. Here the Duke landed, but not without a thorough drenching, for no sooner had the bows of the boat touched the shore than a heavy sea broke right over her stern, and completely saturated his Grace's apparel. The Duke, upon landing, all wet as he was, immediately mounted his horse, and rode off to Walmer Castle. A numerous assemblage of persons had congregated on the beach when the Duke came on shore, and loudly and enthusiastically cheered him.

At an early hour on Wednesday morning the squadron got their steam up, and made preparations for taking their departure. The weather had moderated, and the day was fine. About seven o'clock the Royal yacht got under way, and stood out to sea, and was followed by the other steamers, and also by the Penelope, which had been ordered to form one of the Royal squadron.

About two o'clock on Wednesday the Royal yacht entered the port of Ostend, taking the authorities somewhat by surprise, who did not expect it quite so soon. The King and Queen of Belgium, and the official personages of Ostend, were, however, on the pier to await the landing; and the populace displayed the most lively enthusiasm. In the evening there was a grand banquet at the Hotel de Ville, and Ostend was brilliantly illuminated, in a style far surpassing ordinary occasions.

The King of Hanover.—A correspondent writes that his Majesty, while in conversation with a noble friend, expressed the determination, should Divine Providence spare him health, to visit this country again next summer, and he purposed then to come earlier in the season.

Visit of the Regent of Spain to Greenwich Hospital.—On Wednesday, about twelve o'clock, General Espartero paid a visit to the Royal Hospital at Greenwich.

Sir Robert Peel arrived in town by the London and Birmingham Railway on Saturday afternoon, from his seat, Drayton Manor, Staffordshire, and immediately proceeded from the Euston-square terminus to the residence of the Earl of Aberdeen, in Argyll street, to pay a visit to his lordship. Soon, after the arrival of the Right Hon. Baronet, Sir James Graham arrived in Argyll street from the Home office, and had an interview with Sir Robert Peel.

Sir R. Peel left his colleagues at a quarter-past four o'clock for the terminus at London bridge, and travelled by the London and Brighton Railway to Brighton, to dine with her Majesty and Prince Albert, remaining at the Pavilion, on a visit to her Majesty.