Using a version of the multiperipheral model, the Pomeron-nucleon-nucleon helicity residue functions are obtained over a wide range of t values. Pions are assumed to be exchanged along the sides of the multiperipheral ladder and all but the lowest helicity-determining loop are replaced by a Pomeron exchange. The helicity-flip-to-nonflip ratios are found to be in good agreement with experiment while the overall normalization is less than experiment. An interesting sign structure is found in the individual flip amplitudes for the exchanged baryons. A review is also given of the current experimental status of the helicity structure of πN and NN elastic scattering.