A deformationally self-consistent procedure and dependent local parameters t(0)(Li), t(0)(H) are applied to estimate the values of the rotational g-factor of (LiH)-Li-6-H-2 g(J=1) = -0.279032(88) and (LiH)-Li-6-H-1 g(J=1) -0.661020(32) in the rotational state J = 1, from pure rotational and vibration-rotational spectra of LiHX1 Sigma(+).