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We have studied the production of B hadrons in 1.8-TeV pp̅ collisions. We present measurements of the fragmentation fractions, fu, fd, fs, and fbaryon, of produced b quarks that yield B+, B0, Bs0, and Λ̅b0 hadrons. Reconstruction of five electron-charm final states yields fs/(fu+ fd)= 0.213 ± 0.068 and fbaryon/(fu+ fd)= 0.118 ± 0.042, assuming fu=fd. If all B hadrons produced in pp̅ collisions cascade to one of these four hadrons, we determine fu=fd =0.375 ± 0.023, fs= 0.160 ± 0.044, and fbaryon=0.090 ± 0.029. If we do not assume fu=fd, we find fd/fu= 0.84 ± 0.16.