This late-50's TV show called Trackdown, featured a character with the name Walter Trump in an episode called "End of the World."
The existence of the episode was confirmed by Snopes, which reported the episode aired in the show's first season in 1958. Actor Lawrence Dobkin portrayed Walter Trump.
The character's name is also confirmed on the episode's IMDB page.
In the episode, Walter Trump, a con man, spreads severe paranoia.
"The world will come to a flaming end at midnight, tonight. Without my help and knowledge every one of you will be dead," he says.