5TH JUNE.--The ground was sandy, and several gullies descending to the river occasioned difficulties which tried the mettle of our horses, and convinced me that we now carried too much weight for them. I accordingly sent back Edward Taylor and another man with a note to Mr. Kennedy, and with directions to pick out ten good bullocks, and bring forward one of the drays as soon as possible. We met with various dry channels of tributaries so deep and rocky, that they seemed, at first sight, like the main river. I wished to reach the bank of this, at a favourable point to encamp at, and await the arrival of the expected dray. But there gullies rendered the access difficult. Sand and callitris covered the intermediate ground, and augmented the impediments the horses had to contend with. After crossing three rather important channels, I turned to the N. E., and fortunately came upon the river, where the ground was very open, and the acclivities gentle. The bed of the river was full of water, forming a long reach covered with a red weed, the course from north to south, straight. Height above the sea, 1190 feet. This we marked XXXI., last camp being XXX. Thermometer, at sunrise, 24 deg.; at 4 P.M., 70 deg.; at 9, 43 deg.. 6TH JUNE.--Taylor arrived early with a fine team and strong dray, confident in being able to keep up with the carts, and lightly loaded, of course, that he might cross heavy sand, or deep gullies. I employed the time usefully, in adapting Mr. Kennedy's measurements to my map. I had now measured bases, besides those of latitude for my trigonometrical work, and I should not have regretted even a day longer in camp, to have had more time to protract angles, but time was too precious, as my men were voluntarily on very reduced rations. The DODONOEA HIRTELLA of Miquel was the only novelty found here. Latitude 26 deg. 6' 25" S. Thermometer, at sunrise, 30 deg.; at noon, 75 deg.; at 4 P.M., 76 deg.; at 9, 50 deg.. 7TH JUNE.--We set off at a better pace this morning, and kept it up, as we found the ground firmer, and less broken. Several hollows with water- courses in them, lay in our way, but presented no serious impediment. At length, I saw some of the heads of River-Head Range, and a long ridge appeared before us. On ascending it obliquely, following up the smooth clay floor of a water-course, I found myself gradually entangled in a bad scrub of brigalow and rosewood. After cutting our way through it, for a mile and a half, I sought on the other side for any hollow leading off water, and found one which brought us into an open forest flat with a fine chain of ponds. The Acacia pendula appeared on its skirts; and, at length, abundance of water, also, in the ponds. The grass was so luxuriant near one of these, that I encamped beside it, without seeking the river, to which these ponds seemed adjacent. Thermometer, at sunrise, 36 deg.; at 4 P.M., 85 deg.; at 9, 70 deg. (XXXII.). Height above the sea, 1309 feet.