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We develop a new method to measure source proper motions in microlensingevents, which can partially overcome problems due to blending. It takesadvantage of the fact that the source position is known precisely from themicrolensing event itself. We apply this method to the event MOA-2011-BLG-262,which has a short timescale t_E=3.8 day, a companion mass ratio q=0.0047 and avery high or high lens-source relative proper motion mu_rel=20 mas/yr or 12mas/yr (for two possible models). These three characteristics imply that thelens could be a brown dwarf or a massive planet with a roughly Earth-mass"moon". The probability of such an interpretation would be greatly increased ifit could be shown that the high lens-source relative proper motion wasprimarily due to the lens rather than the source. Based on the long-termmonitoring data of the Galactic bulge from the Optical Gravitational LensingExperiment (OGLE), we measure the source proper motion that is small, mu_s =(-2.3, -0.9) +- (2.8,2.6) mas/yr in a (North, East) Galactic coordinate frame.These values are then important input into a Bayesian analysis of the eventpresented in a companion paper by Bennett et al.

New Method to Measure Proper Motions of Microlensed Sources: Application to Candidate Free-Floating-Planet Event MOA-2011-BLG-262