When returning on board we endeavoured to pass out between May-day and Greenhill Islands, but a bar of sand that appeared to stretch across obstructed our progress: the weather being fine and the sea very smooth, we endeavoured to force her over, but as we did not succeed, we anchored for the night near our former position, to the eastward of Mount Roe. May 2. The next day we passed out between the Mount and Greenhill Island, and at night anchored on the south side of May-day Island, at eight miles distance from it. May 3. The following day we made some progress to the South-East, and by the afternoon obtained a glimpse of some land bearing between South 3 degrees West and South 18 degrees East. May 4. And at sunset the next evening the lowland was traced as far to the southward as South-South-East, upon which several detached hills were seen which probably may have some connexion with Wellington Range. May 5. The next day the cutter was anchored within a mile and a half of the south point of a considerable opening, which the boats were prepared to examine. May 6. And at daybreak we commenced its exploration, but the greater part of the tide was expended before we reached the entrance, which is fronted by a bank of mud on which there was not more than twelve feet water; the depth, however, increased after we entered the river to four and five fathoms; and as we proceeded up we found the channel to be seven and eight fathoms deep. The banks on either side were very low; they were composed of a soft mud, and so thickly lined with mangroves as to prevent our landing until we had pulled up for seven or eight miles. At ten o'clock the flood ceased and the ebb, setting with considerable strength, prevented our proceeding higher up: here we landed, and after spending some time in taking bearings and examining the country, we returned to the cutter, which we reached early in the afternoon. The banks where we landed were about two hundred yards apart, but were so low and without a hillock to ascend or a tree to climb to enable us to obtain a view of the country, that we could form but a very slight opinion of the place. A sugar-loaf-shaped hill, which was also visible from the anchorage, bore South 80 degrees East; at the distance of a league was a rocky hill that bore North 88 1/4 degrees East; and, five or six leagues off, was a range of hills extending from East by South to South 27 degrees East. In all other directions the eye wandered over a dreary, low, and uninterruptedly flat country; which in most parts is covered with an arundinaceous grass.