Trajan owned some lands called Figlinae Marcianae in Ameria, believed to be the place where Marcia's family was from.
Marcia was a daughter of the Roman senator Quintus Marcius Barea Sura and his wife Antonia Furnilla.
During the reign of emperor Claudius (r. 41–54), Marcia married the Roman general and senator Marcus Ulpius Traianus.
Traianus originally came from Italica (near modern Seville, Spain) in the Roman province of Hispania Baetica.
Around 100, her son Trajan founded a colony in North Africa which was called Colonia Marciana Ulpia Traiana Thamugadi (modern Timgad, Algeria).