E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Carry Ones Point (To).
To succeed in ones 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 ones point is to carry off the points at which one aimed.