Not sure about the eggs. A few yrs ago we were infected with bed bugs. As near as we can figure it came from something we bought at a yard sale. Tracing it down we found the Free Store was infected and a lot of people get stuff from the Free Store and have garage sales.Interesting, but what about the cockroach eggs?
After trying everything else we opted for an expensive Ozone machine. It did not kill the eggs so a few days later we Ozoned again. Took 3 times to finally kill everything but it worked. Since then I have purchased small Ozone machines to have one in the treehouse, tornado shelter and even a small one under the car hood. (mice ate the wiring out twice before this. All of the above stay rodent and bug free now. I even used it to fumigate the chicken house when getting new chicks.