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Semileptonic $\bar{B}$ decays to $DX\ell\bar{\nu}$ ($\ell=e$ or $mu$) areselected by reconstructing $D0\ell$ and $D^+\ell$ combinations from a sample of230 million $\Upsilon(4S) \to B\bar{B}$ decays recorded with the BaBar detectorat the PEPII $e^+e^-$ collider at SLAC. A global fit to these samples in a3-dimensional space of kinematic variables is used to determine the branchingfractions $\mathcal{B}(B^- \to D0\ell\bar{\nu}) = (2.34 \pm 0.03 \pm 0.13) %$and $\mathcal{B}(B^- \to D^{*0}\ell\bar{\nu}) = (5.40 \pm 0.02 \pm 0.21)%$,where the errors are statistical and systematic, respectively. The fit alsodetermines form factor parameters in a HQET-based parameterization, resultingin $\rho_D2 = 1.20 \pm 0.04 \pm 0.07$ for $\bar{B} \to D\ell\bar{\nu}$ and$\rho_{D^*}2 = 1.22 \pm 0.02 \pm 0.07$ for $\bar{B} \to D^*\ell\bar{\nu}$ Thesevalues are used to obtain the product of the CKM matrix element $|V_{cb}|$times the form factor at the zero recoil point for both $\bar{B} \toD\ell\bar{\nu}$ decays, $\mathcal{G}(1)|V_{cb}| = (43.1 \pm 0.8 \pm 2.3)\times10^{-3}$, and for $\bar{B} \to D^*\ell\bar{\nu}$ decays,$\mathcal{F}(1)|V_{cb}| = (35.9 \pm 0.2 \pm 1.2)\times 10^{-3}$.

Measurements of the Semileptonic Decays $\Bb\to D\ell\nub$ and $\Bb\to D^*\ell\nub$ Using a Global Fit to $D X\ell\nub$ Final States