In this article in the Albuquerque Journal, the hotel’s owner, Perry Champion is telling the story of T.J. Wright’s death but adds:
“Wright had also been a lover of Lambert’s wife, Mary.”
The first version of the T.J. wright legend comes from the 1940’s where Wright was Mary’s lover and her husband eventually shoots and kills him. Eventually, this version dies out and Wright’s death now comes from being shot after a poker game.