Cross sections for the elastic scattering of protons by Ca48 have been measured at laboratory angles of 90°, 120°, and 160° for bombarding energies from 1.3 to 7.0 MeV. Prominent anomalies were observed in the excitation curves at c.m. proton energies of 1.935+/-0.003, 1.945+/-0.003, 3.86+/-0.03, 5.952+/-0.005, and 5.994+/-0.005 MeV. These anomalies indicate the positions of states in the compound nucleus Sc49 that are isobaric analogs of the ground state and excited states of Ca49. An analysis of these data and a comparison with the Ca48(d, p)Ca49 results are presented. A value of 7.090+/-0.006 MeV for the Ca49-Sc49, Coulomb energy difference is obtained from the observed proton bombarding energy for the ground-state analog. All the known Coulomb energies for the odd Ca and Sc isotopes have been analyzed in terms of a simple model using single-particle wave functions in a Woods-Saxon well, and are interpreted in terms of charge radii.