We report the first direct measurement of bb-bar rapidity correlations in ppbar collisions at sqrt s = 1.8 TeV. We select events with a high transverse momentum muon accompanied by a jet, and a second jet associated with a decay vertex displaced from the ppbar interaction vertex. Two independent samples are obtained corresponding to events with a forward (2.0 < |eta| < 2.6) or central (|eta| < 0.6) muon. We measure the ratio of forward to central bb-bar production to be 0.361 +/- 0.033(stat.)^+0.015_ -0.031(syst.), in good agreement with the next-to-leading order QCD result, 0.338^+0.014_ -0.097.