Coordinate Data Lost after Editing

I am using an orthomosaic tiff file that has been stitched together from pictures taken by a drone. Each photo that has been taken has the GPS coordinate information, and this is kept even once the stitching process has been completed. This coordinate information is then used to place the orthomosaic in the correct location in a mapping program, ArcGIS. The stitching software leaves a large amount of excess around the orthomosaic that it produces, and this is problematic for working in ArcGIS. It is easy enough to photoshop out, but whenever I do the coordinate data is somehow lost and the ortho can no longer be placed in ArcGIS in the correct location. Is there some reason the coordinate data is being lost?