Electron energies of autoionising doubly excited ls2h'I (n' = 2, 3) L-states of Li-like ions are reported for C IV, N V, and 0 VI.The autoionising states are produced in electron capture reactions from two-electron targets (He. Hz) by slow (E,,,, g 5 keV/amu) charge selected ion beams. fn this way, differentiation of doublet and quartet terms is possible and the charge state of the emitting ion is unambiguously defined. Comparison is made with available data From other experiments and with relativistic atomic structure calculations.A multiconfiguration variational approach as well as a Z-expansion calculation are found to give better agreemen& with experimental data than a multico~lfigu~ational Dirac-Fock method.