  We present a search for W b \bar{b} production in p \bar{p} collisions at
sqrt{s}=1.96 TeV in events containing one electron, an imbalance in transverse
momentum, and two b-tagged jets. Using 174 pb-1 of integrated luminosity
accumulated by the D0 experiment at the Fermilab Tevatron collider, and the
standard-model description of such events, we set a 95% C.L. upper limit on W b
\bar{b}$ production of 6.6 pb for b quarks with transverse momenta p_T^b > 20
GeV and b \bar{b} separation in pseudorapidity-azimuth space Delta R_bb > 0.75.
Restricting the search to optimized b \bar{b} mass intervals provides upper
limits on $WH$ production of 9.0$-$12.2 pb, for Higgs-boson masses of 105$-$135
GeV.
