Carry One's Point
(To). To succeed in one's aim. Candidates in Rome were balloted for, and the votes were marked on a tablet by points. Hence, omne punctum ferre meant “to be carried nem. con., ” or to gain every vote; and “to carry one's point” is to carry off the points at which one aimed.
Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894