Because it only takes something like a minute to get to the top and the "climb" is maybe 50' tops, I can't justify making a mountain page for this formation. However, it affords nice views of some of the monument's best scenery, including the Pipe Organ and Independence Monument, and climbing it is something quick and fun to do, especially with young children.
A road winds around the Saddlehorn, giving access to a campground (Saddlehorn, the only one in the monument), a picnic area, and an amphitheater.
While rock climbers could explore numerous one-pitch options to climb the Saddlehorn, getting up is really just as easy as a walk-up. Near the amphitheater is a break in the cliffs that comprise the sides of the formation, and some easy ramps and ledges lead to the top. This is Class 2 terrain.
Up top, in addition to enjoying the views, take some time to check out the many interesting results of erosion at the cliffs' edges.
The elevation of the Saddlehorn is 5849'. Coordinates are 39.10220 N, 108.73288 W.
