The magnetic tuning of the low-rotational levels of the A⁶Σ⁺ (v = 1 and 0) states of chromium monohydride, ⁵²CrH, have been experimentally investigated using optical spectroscopy of the (0, 0) and (1, 0) bands of the A⁶Σ⁺–X⁶Σ⁺ transition. The tuning of the numerous low-rotational lines in the A⁶Σ⁺–X⁶Σ⁺ (0, 0) band can be accurately modeled using a single set of g-factors (g_S and g) which are close to the expected values. In contrast, the g-factors for the A⁶Σ⁺ (v = 1) state required to model the magnetic tuning of low-rotational lines in the A⁶Σ⁺–X⁶Σ⁺ (1, 0) band are strongly dependent upon rotational and fine structure component and the determined effective values for g_S deviate significantly from 2.002. Interpretation of the quantum level variation of g_S is presented. The magnetic hyperfine structure of the (0, 0) and (1, 0) bands of the A⁶Σ⁺–X⁶Σ⁺ transition is analyzed to produce proton Fermi contact, b_F and dipolar, c, magnetic hyperfine parameters of 19(1) MHz and 34(5) MHz for the A⁶Σ⁺ (v = 0) state and 21(2) MHz and 30(7) MHz for the A⁶Σ⁺ (v = 1) state.