In latitude 24 degrees 40 minutes low sandstone hills, or rather tableland, approached both banks of the river, and the gullies which intersected them had supplied the water lower down, as the channel was dry above. We, however, succeeded in reaching latitude 23 degrees 47 minutes, when the absence of water and grass--the rain not having extended so far north, and the channels of the river separating into small gullies and spreading on the wide plains--precluded our progressing further to the north or west; and the only prospect of saving our horses was to return south as quickly as possible. This was a most severe disappointment, as we had just reached the part of the country through which Leichhardt most probably travelled, if the season was sufficiently wet to render it practicable. Thus compelled to abandon the principal object of the expedition, only two courses remained open--either to return to the head of the Victoria River and attempt a northern course by the valley of the Belyando, or to follow down the river and ascertain whether it flowed into Cooper's Creek or the Darling. The latter course appeared most desirable, as it was just possible that Leichhardt, under similar circumstances, had been driven to the south-west. In order to ascertain whether any large watercourses came from the west, the return route was along the right bank of the Thompson, but only one small creek and some inconsiderable gullies joined on that side; nor was the country of a better character than on the left bank--consisting of barren plains, subject to inundation, low rocky ridges covered with dense scrub, and sandy ridges producing triodia. 22nd to 23rd May. We had nearly reached the Victoria River, when, in crossing a gully, Worrell's horse fell and hurt him so severely that we had to halt for some time before he could be placed on his horse again, and it was therefore fortunate that a small patch of dry grass was found on the bank of the river, which enabled us to halt the next day, which was Sunday. Travelling down the right bank of the river, the principal channels were full of water, but the clay plains between were quite dry, the rain which had caused the river to flow not having extended so far south; nothing could well be more desolate than the unbounded level of these vast plains, which, destitute of vegetation, extended to the horizon. Our horses were reduced to feeding on the decayed weeds, and even these were so scarce that they eagerly devoured the thatch of some old native huts. 27th May. We had nearly reached the furthest point attained by Mr. Kennedy when the horses showed signs of failing strength, and the channels on the east side of the plain being dry, I conceived it prudent to cross to the western side again. The dry mud was so deeply cracked that the horses were continually falling, and one horse was so completely exhausted that we had to abandon him. KENNEDY'S MARKED TREE. 28th May.