  We report on two spectroscopy results from CDF. First, we observe the
orbitally excited $B^{**}$ mesons in $B \to \ell D^{(*)}X$ events. We find $28
\pm 6 \pm 3$% of light $B$ mesons produced are $B^{**}$ states. A collective
mass fit results in a $B_1$ mass of $5.71 \pm 0.02$ GeV/$c^2$. Secondly, we
observe $20.4^{+6.2}_{-5.5}$ decays of $B^+_c \to J/\psi \ell^+X$, with a $
6.40 \pm 0.39 \pm 0.13 {\rm GeV}/c^2$ mass and $ 0.46 ^{+0.18}_{-0.16} \pm 0.03
$ps lifetime. The production rate is in reasonable accordance with
expectations.
