The naming of this settlement as Dubina ("oak grove") goes back to one of the first nights spent by the settlers. As the story goes, the settlers were travelling looking for a suitable place to settle down when it started raining. They sat down under a very large oak tree for shelter and looked around realizing how comfortable this place was. They then settled there giving it the appropriate name.
After the Civil War, Dubina became a toehold for recently arrived Czech immigrants. The nearby town of Hackberry was for German settlers.
Dubina has some historical buildings, the most famous of which is one of Texas's painted churches, Saints Cyril and Methodius.