  We calculate matrix elements of the axial current for static-light mesons and
baryons in lattice QCD with dynamical domain wall fermions. We use partially
quenched heavy hadron chiral perturbation theory in a finite volume to extract
the axial couplings g_1, g_2, and g_3 from the data. These axial couplings
allow the prediction of strong decay rates and enter chiral extrapolations of
most lattice results in the b sector. Our calculations are performed with two
lattice spacings and with pion masses down to 227 MeV.
