The fifteenth instant, at three o'clock in the morning, the transport ship Rachel and Francis,¹ Capt. Hastings, was stranded upon Brigantine beach, on the coast of New-Jersey. She had on board Capt. Duncan Campbell, Lieut. [James Smith] Sims, two serjeants and twenty-one privates, belonging to his Majesty's ROYAL HIGHLAND REGIMENT OF EMIGRANTS, bound from Boston (they say) to New-York, as a recruiting party. The Capt. and Lieut. got off the beach the next day, in a small boat, and went towards New-York, in order to get on board the Asia man of war, which they would have effected, if they had not been prevented by the zeal and activity of Lieut. Loveland of Egg-Harbour; who, after a tedious pursuit of one day and two nights, t0ok them on board a boat at Cranberry inlet, about thirty-five miles from New-York, in which he was assisted by Lieut Cook with six men, from an adjacent county, his own party being wore out with fatigue. They did not seem greatly alarmed when first taken, but Sims said he would pay handsomely to be carried to New-York. As some of the privates are known to have been formerly in this city, one of them a servant, and another a soldier, it is supposed they were selected as fit persons to inveigle servants and others into the ministerial service. Captain Hastings, and three of the soldiers, were conducted here last Saturday [October 21] evening under a guard. The rest of the soldiers, and the Captain and Lieutenant were brought here this day. Before they quitted the vessel, they threw overboard several pieces of cannon belonging to it, sixty muskets, and two barrels and a half of powder. The vessel left Boston the fifth of October, in company with a twenty gun ship, and one transport with some troops bound for Halifax. No other ships of war or troops had sailed.