http://www.tshaonline.org/handbook/online/articles/fha58
"After the surrender of Gen. Robert E. Lee at Appomattox, Hardeman, like his cousin Peter Hardeman and thousands of other Confederates, became an exile. He joined a company of fifteen high-ranking officers, eluded Gen. Philip H. Sheridan, and escaped to Mexico."
Also this same website makes a reference to William P. Hardeman as being promoted to Brig. General.
"He participated in Gen. Richard Taylor's Red River campaign, which turned back the numerically superior army of Union general Nathaniel P. Banks, and eventually rose to the command of the Fourth Texas Cavalry. After successful campaigns at Yellow Bayou and Franklin, Hardeman was promoted to brigadier general."
This information conflicts with your info, does the State of Texas historical Society got it wrong? I know for sure Peter is my GGG Uncle and brother to my GGG Grandfather Blackstone Hardeman Jr. The family tree on page 307 of the book Wilderness Calling by Nicholas Perkins Hardeman clearly shows the relation. Both my GGG Grandfather and his brother Peter dies in 1882. The only other Peter Hardeman died in 1820.
Gary