A model fitting analysis is performed for six light curves resulting f
rom gravitational microlensing of Galactic bulge stars, obtained durin
g the Optical Gravitational Lensing Experiment. For three of these eve
nts, allowing for radiation from the gravitational lens yields a bette
r lit than provided by models with a dark, compact lens or with a lens
formed of a cluster of weakly interacting massive particles. The char
acteristics and distances of the lensing and lensed stars are estimate
d for these events. It is proposed that ordinary late-type dwarfs can
play the role of the gravitational lens in about half the bulge stella
r microlensing events. This would make it possible to partially explai
n the observed excess in the optical depth to microlensing for bulge s
tars over that predicted by existing theoretical models for the distri
bution of massive compact objects in the Galactic halo.