Excited state hydrogen (ESHT) and proton (ESPT) transfer pathways in the solvent clusters of 6-azaindole 6AI-S3,4 and 2,6-diazaindole 26DAI-S3,4 (S=H2O, NH3) were computationally explored to understand the fate of photo-excited biomolecules. The ESHT energy barriers in (H2O)3 complexes (39.6-41.3 kJmol-1) were decreased in (H2O)4 complexes (23.1-20.2 kJmol-1). Lengthening the solvent chain reduced the barrier because of the relaxed transition states geometries with reduced angular strains. Replacing the water molecule with ammonia drastically decreased the energy barriers to 21.4-21.3 kJmol-1 in (NH3)3 complexes and 8.1-9.5 kJ mol-1 in (NH3)4 complexes. The transition state was identified as Ha atom attached to the first solvent molecule. The formation of stronger hydrogen bonds in (NH3)3,4 complexes resulted in facile ESHT reaction than that in the (H2O)3,4 complexes. The ESPT energy barriers, in 6AI-S3,4 and 26DAI-S3,4 are found to range between 40-73 kJmol-1. The above values were significantly higher than that of the ESHT processes and hence are considered a minor channel in the process. The energetics of ESHT and ESPT explored in this study would be of great importance to study the photochemistry of N-rich biomolecules in the presence of various protic environments.