Josiah was the son of Benjamin Franklin "Frank" Buntyn and Mary Holland Rhodes. He migrated to Texas with his mother and younger siblings between 1887 and 1896. Josiah married Minnie Nola Stanley in 1896 in Bastrop County, Texas. They lived in at least four counties over the next few years, eventually settling on a farm near Harrold in Wilbarger County. Josiah died at the young age of 36 from pneumonia. He and Nola were the parents of five children who survived past infancy, and possibly four who did not survive.