  There is recent evidence that some SiC X grains from the Murchison meteorite
may contain supernova-produced {\nu}-process 11B and or 7Li encapsulated in the
grains. The synthesis of 11B and 7Li via neutrino-induced nucleon emission (the
{\nu} -process) in supernovae is sensitive to the neutrino mass hierarchy for
finite sin^2(2{\theta}13) > 0.001}. This sensitivity arises because, when there
is 13 mixing, the average electron neutrino energy for charged-current neutrino
reactions is larger for a normal mass hierarchy than for an inverted hierarchy.
Recent constraints on {\theta}13 from the Daya Bay, Double Chooz, MINOS, RENO
and T2K collaborations all suggest that indeed sin^2(2{\theta}13) > 0.001}. We
examine the possible implications of these new results based upon a Bayesian
analysis of the uncertainties in the measured meteoritic material and the
associated supernova nucleosynthesis models. We show that although the
uncertainties are large, they hint at a marginal preference for an inverted
neutrino mass hierarchy. We discuss the possibility that an analysis of more X
grains enriched in Li and B along with a better understanding of the relevant
stellar nuclear and neutrino reactions could eventually reveal the neutrino
mass hierarchy.
