The Kid did not want to meet Doctor Dell just right then.
He went back, took Silver by the bridle reins and led him out of the barn and around the corner where he could not be seen from the White House.

He thought he had better go down the creek, and out through the wire gate and on down the creek that way.

He was sure that the "breaks" were somewhere beyond the end of the coulee, though he could not have explained why he was sure of it.

Perhaps the boys, in speaking of the breaks, had unconsciously tilted heads in that direction.
The Kid went quickly down along the creek through the little pasture, leading Silver by the reins.

He was terribly afraid that his mother might ride over the top of the hill and see him and call him back.
If she did that, he would have to go, of course.