We anchored to prevent being taken back through Dundas Strait by the return tide, which from 5 P.M., to midnight, set South-East by South from two to three knots an hour. High-water at Popham Bay on the east side of the Strait being at a quarter past eleven, we may conclude the North-West stream began at this anchorage three quarters of an hour after high-water. Weighing as soon as the tide made out of the strait, although there was still no wind, we were rather surprised at daylight to find how little the ship had drifted to the North-North-West. The only reason I can give in explanation is that the ebb or North-West stream out of the gulf joins with, and is thrown out of its course by the easterly or ebb stream setting past Cape Fleming. ARRIVAL AT THE PORT. A breeze springing up late in the morning, we beat along the north side of the Cobourg Peninsula, entering Port Essington at dusk. In working round Vashon Head, we found the water shoal very rapidly to 12, 9, and 7 fathoms on approaching it; on the bearing South 30 degrees West. This head is fronted by a reef of some extent, which similar to the other at the entrance of Port Essington, cannot be distinguished, owing to the muddy colour of the water; it is therefore necessary that the lead should be kept constantly going when in its vicinity. When daylight broke, we found no fresh arrival to greet our anxious gaze, the Britomart being still the only guardian of the port. Her solitary aspect at once destroyed our hopes of supplies, and on reaching the settlement our fears proved to have too much foundation. Hope, however, is the last feeling which leaves the human breast, and in this instance did not desert us; as there was still a chance of a vessel arriving, while we were engaged in watering the ship. VICTORIA THEATRE. The news of our discovery of the Adelaide was hailed with infinite satisfaction, and the numerous speculations and ideas on the subject which were at once afloat, afforded an agreeable variety to the monotony of existence in the settlement, where however at the moment of our arrival an unusual degree of excitement prevailed through the activity of Captain Stanley. THEATRICAL AMUSEMENTS.