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Using 11-years of OGLE V-band photometry of Q2237+0305, we measure thetransverse velocity of the lens galaxy and the mean mass of its stars. We cando so because, for the first time, we fully include the random motions of thestars in the lens galaxy in the analysis of the light curves. In doing so, weare also able to correctly account for the Earth's parallax motion and therotation of the lens galaxy, further reducing systematic errors. We measure alower limit on the transverse speed of the lens galaxy, v_t > 338 km/s (68%confidence) and find a preferred direction to the East. The mean stellar massestimate including a well-defined velocity prior is 0.12 <= <M/Msun> <= 1.94 at68% confidence, with a median of 0.52 Msun. We also show for the first timethat analyzing subsets of a microlensing light curve, in this case the firstand second halves of the OGLE V-band light curve, give mutually consistentphysical results.

The Transverse Peculiar Velocity of the Q2237+0305 Lens Galaxy and the Mean Mass of Its Stars