They're relatives through Antony's mother, something like 2nd or third cousins. Consider that the partrician class of Rome was very interbred many of the famous families were intertwined. read more
You could make the leap that Antony's position in Caesar's Army was a patronage appointment. Obviously Antony was of some use to Caesar as he was among his legates. I think that's a good indication of their relationship. read more
Although Mark Antony died fighting Octavian's efforts to become Rome's sole dynastic monarch, three of the first five Roman emperors—Caligula, Claudius and Nero—were Antony’s direct descendants. During Caesar’s first yearlong dictatorship, Antony was his second-in-command. read more