Which statement about James Carleton is false?

James Carleton is often associated with the forced relocation of the Navajo people during the "Long Walk" to Bosque Redondo, which he orchestrated as a military leader. This event was a significant and tragic part of Native American history, and Carleton's role in it involved significant decision-making that affected many lives.

The claims to mines on Navajo land and the belief in the presence of gold in that area were also aligned with the motivations of various military and governmental figures during this period, including Carleton, as they sought economic advantages in the territory.

However, while Carleton was indeed an officer in the Union Army during the American Civil War and had a military background, he was not involved as a Texas Ranger in the Battle of Valverde. This battle was fought in New Mexico in 1862 between Union and Confederate forces, and Texas Rangers played roles in various conflicts in that era, but there is no historical record of Carleton fighting there as a Texas Ranger. This detail makes the statement regarding his participation in the Battle of Valverde incorrect.