I do not have any specific info about the Texas Berna family, however, there is a possibility that the name may have originally been spelled Brna. My father Joseph Brna immigrated to the US in the early years of the 20th century from Liesek, in the Slovak Republic. I have been doing research on the Brna families and have cpme across at least four other families with the same name, but I have so far been unable to determine a relationship. There is a Joseph Brna, who lived in Emporia VA, another Joseph Brna, who lived in Chicago, a third Joseph Brna, who lived in Bentleyville, PA, and an Andrew Brna, who lived in Chicago. These are in addition to my own father.