A recent experiment at Fermilab with tagged photon beam has extended the total-cross-section measurements σT(γp) to Eγ=180 GeV. In an earlier work, we have applied the core-valence quark model, using light quarks only, together with vector-meson dominance to describe σT(γp) up to 10 GeV. We have now extended our model by including the heavy-quark contribution, and in spite of this addition we find a definiency of 2-5 μb in σT(γp) in the high-energy region. Calculations within the framework of other models fail to account for the surplus in the experimental data. On extending the model to electroproduction we again encounter normalization difficulties.