The effects of varying the chirp and intensity of an ultrashort pulse exciting the molecules LD690 and LDS750 in room temperature liquid solutions are investigated experimentally and theoretically. For low-power excitation, we find that the absorption and amount of excited state population are independent of chirp, while for high-power excitation we observe a strong chirp dependence. The high-power data results from an intra-pulse pump-dump process which is enhanced by negatively chirped pulses and prevented by positively chirped pulses.