In summary, we developed a procedure to calculate excited state CMESs and used them to obtain approximate vibrational excited state absorption frequencies. In the harmonic oscillator model, we showed that our CMES results are exact via analytical derivations. In the Morse potential model, our CMES-based method is highly accurate and significantly outperforms conventional PES-based harmonic approximation results. In the more challenging double-well potential and quartic potential, our method gives the right physical picture and outperforms the conventional method. These results suggest that excited state CMESs can The studies in this paper are all proof-of-principle model system tests, in which we have assumed the underlying PES is known and build ground and excited state CMES on top of it. However, this procedure is not practical for real systems because obtaining PES is already computational highly demanding and constructing CMES is even more challenging.