We report on new or more precise half-lives, β-decay endpoint energies, and β-delayed proton emission branching ratios of 91 Pd, 95 Cd, 97 In, and 99 Sn. The measured values are consistent with known mirror transitions in lighter T z = −1/2 nuclei, shell-model calculations, and various mass models. In addition to the β-decaying (9/2 +) ground state, circumstantial evidence for a short-lived, proton-emitting isomer with spin (1/2 −) was found in 97 In. Based on the experimental data, a semiempirical theory on proton emission, and shell-model calculations, the proton separation energy of the 97 In ground state was determined to be −0.10 ± 0.19 MeV. The existence of the short-lived, proton-unstable (1/2 −) isomer in 97 In establishes 96 Cd as an rp-process waiting point.