Accurate time-resolved stimulated Raman measurement of anomalous line broadening of a vibrational excitation weakly coupled to a lattice mode which shows critical slowing down is presented. Dephasing of the Raman-active internal ${\mathit{A}}_{1\mathit{g}}$ CN stretching mode in ferroelectric ${\mathrm{K}}_{4}$Fe(CN${)}_{6}$\ensuremath{\cdot}${3\mathrm{H}}_{2}$O is found to result from a superposition of energy-exchange dephasing from coupling to the internal ${\mathit{T}}_{1\mathit{g}}$ Fe-C?N bending mode and pure dephasing from coupling to the (tunneling motion of the) crystal water. Anomalous broadening of the ${\mathit{A}}_{1\mathit{g}}$ line at the Curie temperature (248.5 K) results from critical slowing down of the water reorientational tunneling motion.