He followed her easily enough until he came to the next valley, which he examined over and over before he found where she had left it to push deeper into the Badlands.

And it was the same experience repeated when he came out of that gulch into another open space.
He came into a network of gorges that would puzzle almost anyone, and stopped to water his horse and let him feed for an hour or so.

A man's horse meant a good deal to him, down here on such a mission, and even his anxiety could not betray him into letting his mount become too fagged.
After a while he mounted and rode on without having any clue to follow; one must trust to chance, to a certain extent, in a place like this.

He had not seen any sign of the Kid, either, and the gorges were filling with shadows that told How low the sun was sliding down the sky.

At that time he was not more than a mile or so from the canyon up which Miss Allen was toiling afoot toward the sun; but Andy had no means of knowing that.