Marc Antony had at least 10 children. We don't know the names of the first two, but the others are: 3 daughters named Antonia (Romans always named their girls after the father's clan), 1 daughter named Cleopatra, and 4 sons named Iulius, Antylus , Alexander and Ptolemy.
Marc Antony's mother's name was Julia and she was a relative of Julius Caesar. His father's name was Marcus Antonius, the same as his, as the Romans names the first son after the father. Marc Antony's father also had an honorific name which was Creticus.