Herculanus might have had no issue, and one of his heirs was Quintus Pompeius Falco (Quintus Roscius Coelius Murena Silius Decianus Vibullius Pius Iulius Eurycles Herculanus Pompeius Falco), who carried the family names on.
He was educated in Hispania, a part of the Roman Empire which in the 1st century produced several notable Latin writers, including Seneca the Elder and Seneca the Younger, Lucan and Quintilian, and Martial's contemporaries Licinianus of Bilbilis, Decianus of Emerita and Canius of Gades.