TRIUMF experiment 497 has measured the parity-violating longitudinal analyzing power A(z) in (p) over right arrowp elastic scattering at 221.3 MeV incident proton energy. This comprehensive paper includes details of the corrections, some of magnitude comparable to A(z) itself, required to arrive at the final result. The largest correction was for the effects of first moments of transverse polarization. The addition of the result, A(z)=[0.84+/-0.29 (stat.)+/-0.17 (syst.)]x10(-7), to the (p) over right arrowp parity-violation experimental data base greatly improves the experimental constraints on the weak meson-nucleon coupling constants h(rho)(pp) and h(omega)(pp), and also has implications for the interpretation of electron parity-violation experiments.