Our horses having had a rest, the previous day being Sunday, we made an early start, and by noon halted on the Lyons River, a short distance above its confluence with the Gascoyne; its channel here was equal in magnitude and similar in appearance to the main river; a small stream was still flowing through the wide sandy bed, and gradually increased in volume for nearly eighty miles up the river. Three miles to the north of our midday halt Mr. Roe and myself ascended a deep sandstone peak, from which we had a fine view of the Kennedy Range, the nearest part of which lay about six miles to the west, extending for nearly thirty miles to the northward; the eastern face presents an almost unbroken line of nearly perpendicular sandstone, of probably 500 or 600 feet elevation. To the north a few remarkable peaks served as valuable points to carry on our triangulation, which had been continued almost uninterruptedly from Mount Hope, on the Murchison. To the east were several ranges of flat-topped hills, filling in the space between the Lyons and the great southern bend of the Gascoyne; while to the south, with the exception of a few very distant peaks, it appeared, as far as the eye could reach, to be an uniform plain of open but almost grassless scrub. Having completed our round of angles, we struck south-east to a patch of forest on the banks of the river, which we did not reach until sometime after dark. 25th May. From this point to latitude 23 degrees 56 minutes the Lyons maintains a general course of north-north-east. The country passed over during to-day had evidently been tolerably grassy, but the floods had been quite as destructive here as on the Gascoyne, the bed of the river and flats for half a mile on each side being mostly choked up or buried under fields of fine white sand, which had been brought down by the inundations. In several places we observed beds of gypsum and fossil shells with other strong indications of the existence of coal in the vicinity. Bivouac in latitude 24 degrees 41 minutes 18 seconds. 26th May. A few miles along the river brought us to a gorge in the eastern edge of the sandstones, to the east of which it opened out into extensive plains in some parts well grassed, and in others much washed by the river. Several trap and granite hills were visible at some distance to the northward and eastward. Our bivouac was in latitude 24 degrees 31 minutes 0.5 seconds, about three miles south of a bold trap-range, the summit of which was named Mount Sandiman. 27th May.