  In a previous paper, we introduced reflection equations for
interaction-round-a-face (IRF) models and used these to construct commuting
double-row transfer matrices for solvable lattice spin models with fixed
boundary conditions. In particular, for the Andrews-Baxter-Forrester (ABF)
models, we derived special functional equations satisfied by the eigenvalues of
the commuting double-row transfer matrices. Here we introduce a generalized
inversion relation method to solve these functional equations for the surface
free energies. Although the surface free energies depend on the boundary spins
we find that the associated surface critical exponent $\alpha_s=(7-L)/4$ is
independent of the choice of boundary.
