While the aforementioned expedition was carrying on, gen. Burgoyne having at length obtained about thirty days provision, with other necessary stores, resolved upon passing the Hudson’s-River with the army, which having executed, he encamped on the heights and in the plain of Saratoga. He took this measure upon himself, on the supposition that he was not authorised to call any officers in council, as the peremptory tenor of his orders, and the season of the year admitted of no alternative. He then advanced along the side of the river, and encamped on the heights about two miles from general Gates’s camp, which was three miles above Stillwater. On the eighteenth the Americans marched out, three thousand strong, in order to at-attack him, but found that to be prudentially impracticable.—However, they drew up in full view of him, and there tarried till dark. Gates was careful to keep colonel Morgan’s regiment of riflemen and a large corps of light-infantry under colonel Durbin, always in advance, ready to oppose the approach of the enemy. Large scouting parties from this advanced body were continually patrolling, to prevent a surprise. The next day gen. Burgoyne put himself at the head of the British line, which composed the right wing; this was covered by by gen. Frazer and colonel Breyman, with the grenadiers and light infantry of the army, being themselves covered by the Indians, provincials and Canadians, in the front and flanks. He advanced toward the American left wing, through some intervening woods of no great extent, while the left of the royal army and artillery, under the generals Philips and Reidesel, kept along the great roads and meadows by the river side.