  The intrinsic angular momentum ("spin") of the B mesons has not so far been
measured, notwithstanding the large amount of experimental attention that these
particles have received in the four decades since the first of them was
discovered. This paper draws attention to the applicability of a long-standing
method for spin measurement from nuclear spectroscopy, concluding that known
decay data point to the in-principle feasibility of a model-independent
measurement of the spin of the B$^+$ meson. For the B$^0$ and B$^0_\mathrm{s}$
mesons, known decay chains allow the Standard-Model prediction to be tested,
but are insufficient for a fully model-independent spin measurement. Suitable
decay chains are not yet known for the B$^+_\mathrm{c}$ meson. The Standard
Model predicts all B mesons to have spin zero. If this turns out not to be so,
then the possibility of parity measurement opens up, using a related method.
