The difference between General Howe and Admiral Graves, at Boston, no matter from what cause originating, has arisento such a height, that the Admiral treats the military with great contempt. General Howe is obliged to repair the light-house with his own people; the Admiral refused to have any thing to do with it. The distress of the troops and inhabitants in Boston, is great beyond all possible degree of description. This account is dated December 14. Neither vegetables, flour, nor pulse, for the inhabitants; and the King's stores so very short, none can be spared from them. No fuel; and the winter set in remarkably severe. The troops, and inhabitants, absolutely, and literally, starving for want of provisions and fire. Even salt provision is fifteen pence sterling per pound. The only three coal ships from England, which had been able to get near Boston, were taken at the mouth of the harbour by the American privateers; as was also a vessel with live-stock from Halifax. They boarded another vessel within two miles of the light-house. On account of this accumulating distress, the inhabitants petitioned Gen. Howe for leave to quit the town. He refused. They then petitioned to be permitted to go out with their wives and children only; and offered to leave all their effects in the town. But he still refused. As they consist chiefly of the select men, and other principal inhabitants, the General keeps them as hostages. It is impossible to describe the miserable condition of these unhappy people. Language cannot paint their distress; and this, added to the hourly expectation of a bombardment, makes their situation truly deplorable. The frost having begun to set in, the provincial Generals intend, as soon as the water is froze between Dorchester Neck and Boston Neck, to erect batteries upon Dorchester Point. No ships, nor floating batteries, can then annoy them. They waited for the frost, otherwise this would have been done long ago. From Dorchester Point they can not only command the town of Boston, but render it absolutely impossible for the troops to stay in it. ー This is a measure that will most certainly be taken. The next news from Boston, therefore, will be, that it is taken by the Americans. There is no doubt Gen. Howe will make a vigorous defence. But he will be overpowered. The town, it is probable, will be burned; that it may not be made a place of arms for the regulars in the spring. This attack, it was thought, would commence about the 17th or 18th of December last. The Americans ridicule the excessive folly and extreme ignorance of the ministry, in sending transports to Boston, with troops, stores, and provisions, so late in the season; when, as they say, the north-west winds alone will prevent four in five from ever getting to North America. The American privateers constantly cruize at the mouth of Boston harbour and between Cape Cod, Cape Anne, and Jefferys's Ledge. Only four companies of one of the last two regiments which were sent had arrived, though the whole sailed together. The other six companies, and the other regiment, are lost or taken by the Americans, or drove away to the West Indies by the violent north-west winds, which are common upon that coast at this season.