Knowledge of the primordial lithium abundance (Li-p) tests and constra
ins models of big bang nucleosynthesis and may have implications for d
ark matter and the laws of physics. An apparent small dispersion in th
e Li abundances of field halo dwarfs had been predicted to result from
differences in the Li depletion of models with rotationally induced m
ixing, and would imply a higher Li-p than is observed today in these s
tars. However, this dispersion could also be explained by differential
Galactic Li enrichment (from lower Li-p) coupled with a halo age spre
ad and/or incomplete mixing. To differentiate between these possibilit
ies, we have obtained Keck/HIRES observations at R = 45,000 in one of
the oldest and most metal-poor globular clusters, M92, where different
ial Li enrichment within the cluster is unlikely. We find some evidenc
e for differences in the Li abundances of three otherwise apparently i
dentical M92 subgiants in the Spite Li plateau. We provide evidence ag
ainst cosmic-ray, supernova, and asymptotic giant branch star Li produ
ction as causing these Li differences, and suggest that different stel
lar surface Li depletion histories in these stars from a higher initia
l abundance is a more likely explanation (as is also the case for open
clusters). This higher initial abundance may have been the Li-p, or a
combination of Li-p plus significant pre-M92 Galactic Li. Implication
s are discussed.