Last Friday arrived here from a cruise the brig Andrew Doria, Capt.[Nicholas] Biddle, who about 14 days before took two transports ships from Greenock in Scotland, having on board each 100 Scotch troops; Capt. Biddle took out the officers, navigators and sailors, to the number of 40, with all the small arms and baggage of value, manned the ships with his own men, and kept company with them 13 days; when, being a little without Nantasket shoals, they were chaced by five vessels, one a pretty large man of war, uponwhich he ordered the prizes to steer different courses, and though the man of war chaced him, night coming on he soon lost sight of them. We hope soon to hear of the prizes being arrived at some safe port. The prisoners brought in were landed here on Friday evening, who report that they were part of 33 sail of transports which left Greenock in company, having 3000 troops on board, bound for Boston.