  We extend earlier investigations of heavy-light pseudoscalar mesons to the
vector case, using a simple model in the context of the
Dyson-Schwinger-Bethe-Salpeter approach. We investigate the effects of a
dressed-quark-gluon vertex in a systematic fashion and illustrate and attempt
to quantify corrections beyond the phenomenologically very useful and
successful rainbow-ladder truncation. In particular we investigate dressed
quark photon vertex in such a setup and make a prediction for the
experimentally as yet unknown mass of the B_c*, which we obtain at 6.334 GeV
well in line with predictions from other approaches. Furthermore, we combine a
comprehensive set of results from the theory literature. The theory average for
the mass of the B_c* meson is 6.336 +- 0.002 GeV.
