  The decay chain b -> Bbar -> D^{**0} l nu X, D^{**0} -> D^{*+} pi^-, D^{*+}
-> D^0 pi^+, D^0 ->(Kpi or K3pi) is identified in a sample of 3.9 million
hadronic Z decays collected with the OPAL detector at LEP. The branching ratio
BR (b -> Bbar) x BR (Bbar -> D^0_1 l nu X) x BR (D^0_1 -> D^{*+} pi^-) is
measured to be (2.64 +- 0.79 (stat) +- 0.39 (syst)) X 10^-3 for the J^P = 1^+
(D^0_1) state. For decays into the J^P = 2^+ (D^{*0}_2) state, an upper limit
of 1.4 X 10^-3 is placed on the branching ratio at the 95% confidence level.
