We report on new gamma-ray spectroscopy results from beta decays of In-99 and Sn-101. 30 new gamma rays were observed following the beta decay of In-99, and inconsistencies in the literature with respect to the gamma rays following the beta decay of Sn-101 were addressed with two confirmed cases and two new transitions. The experimental gamma-ray energies, intensities, and coincidence relationships are discussed with shell model calculations, where theoretical beta-decay branching ratios from the parent nuclei and gamma-ray cascades of excited states from the daughter nuclei were combined to generate hypothetical beta gamma spectra and beta gamma gamma coincidence matrices. The most intense beta-delayed gamma-ray branches in both Cd-99 and In-101 were well reproduced with this approach, and several gamma rays were assigned to new excited states based on their good agreement with shell model predictions