  Earlier work reported on the existence of a term within a generalized
skyrmion approach that yields appreciable spin content for the proton.
Unfortunately there is no accessible experiment that can fix the coefficient of
this term directly; plausible but highly uncertain values for it gave a result
for the spin content loosely consistent with the currently measured
$\Delta\Sigma = 0.27\pm 0.13.$ We here attempt to narrow the range of values
for this coefficient by performing global fits to all the parameters of the
generalized Skyrme lagrangian while requiring reasonable results for the baryon
octet and decuplet masses and octet magnetic moments. This requirement fixes
the coefficient loosely, and we find that parameter sets that fit the baryon
masses and magnetic moments yield proton spin content near $\Delta\Sigma \sim
0.15.$
