We compute spin-dependent thermoelectric properties of Fe(110)/Co( \(11\bar{2}0\) ) thin films using spin-polarized density functional theory combined with semiclassical Boltzmann transport. The spin-resolved Seebeck coefficients \(S^{\uparrow }(T)\) and \(S^{\downarrow }(T)\) remain negative and metallic, with magnitudes of a few tens of \(\mu \mathrm {V\,K^{-1}}\) between 0 and 500 K and only weak sensitivity to small rigid-band dopings. Because the transport formalism yields \(\sigma /\tau\) , we estimate the relaxation time using two complementary models, namely an acoustic-phonon-limited deformation-potential approach and an empirical metallic lifetime inferred from the Seebeck coefficient. The former gives sub-picosecond to picosecond lifetimes, while the latter yields shorter lifetimes of a few tens to a few hundred femtoseconds. The resulting conductivities fall in a realistic thin-film range and show clear in-plane anisotropy with \(\sigma _{yy}>\sigma _{xx}\) , reflecting anisotropic band velocities and effective masses. Within a two-current description, the spin Seebeck coefficient \(S_{\textrm{spin}}(T)\) reaches a few \(\mu \mathrm {V\,K^{-1}}\) with deformation-potential lifetimes but is reduced to a directional average of about \(-0.146~\mu \mathrm {V\,K^{-1}}\) at 300 K when empirical lifetimes are used. These values provide a baseline estimate of the effective electronic contribution within the two-current framework for all-ferromagnet Fe/Co stacks.