The E R = 126, 272 and 291 keV resonances in the 21Ne(p, 7)22Na reaction have been investigated with a high-energy-resolution ion beam. The E R = 272 keV resonance was found to consist of two states separated by (888 + 5) eV, where the lower (higher) energy member is a high-spin (low-spin) state. All four resonances have widths less than a few eV, which is an improvement of nearly two orders of magnitude below previously reported limits. The influence of atomic effects on the determination of the correct value for the resonance energy is examined.