Well, not monkeys per se. A dramatic fossil find by paleontologists from Duke Univesity reveals that primates persisted in Texas longer than anyone thought, untl at least 43 million years ago.
That long ago, of course, Texas was covered by tropical forest and active volcanoes. Nowadays, the climate has cooled and the tropical biome is gone, so most would say that the native primates are extinct there, but I would disagree. Just look at the Texas School Board.