  We compute the leading non-analytic correction to the baryon mass in the
combined limits m_\pi -> 0, N_c -> \infty with the product m_\pi x N_c held
fixed. We reproduce the results of Cohen and Broniowski using semiclassical
methods rather than heavy-baryon chiral perturbation theory. The calculation is
organized to demonstrate: (1) the model independence of our results; and (2)
the crucial role played by (iso)rotations of the hedgehog pion cloud
surrounding the baryon. Our rotationally improved large-N_c calculation yields
results that naturally interpolate between ordinary chiral perturbation theory
on the one hand, and large-N_c physics on the other.
