We used the 8πγ-ray spectrometer at the TRIUMF-ISAC radiocative ion beam facility to obtain high-precision branching ratios for Ne19β+ decay to excited states in F19. Together with other previous work, our measurements determine the superallowed 1/2+→1/2+β branch to the ground state in F19 to be 99.9878(7)%, which is three times more precise than known previously. The implications of these measurements for testing a variety of weak interaction symmetries are discussed briefly.