A trial experiment for estimating minute lunar parallaxes among multiple observation points was carried out by using images of the partial solar eclipse on May 21, 2012. Images were collected from websites that provide several images of the partial solar eclipse taken at different times, and 284 images taken at 37 observation points were selected. The analysis results indicate that the estimated lunar parallaxes at 25 out of the 37 positions were consistent with theoretical values within 20″. The most effective source of error was uncertainty as to the observation time, and time correction could reduce errors to around 6.5″. This finding shows that it is possible to detect minute lunar parallaxes and relative positions among observation locations tens of kilometers apart from each other by using images of a partial solar eclipse not taken at the same time but taken sequentially. The trial experiment also indicates that pictures of a partial solar eclipse taken at multiple locations are applicable as astronomical educational material for detecting lunar parallaxes, and that they allow us to draw a relative location map of the shooting points.