The previous owner looks to have tapped the front bumper, and as a result both fog lights shake because it appears one of the two mounting locations for each light has broken loose. I've crawled underneath and it seems the mounting bracket for the outside of each light was formed as part of the actual bumper itself and is broken off, so I don't think I can secure it with a screw without punching through to the outside of the bumper. I don't think glue would hold either. Any ideas?