They probably won't fall. I'd make sure there is a fresh leaf leaning against the mesh. I might even tape it over the eggs. When the cat emerges, it will climb onto the leaf and you can move the leaf wherever you need to. I'd suggest a breeding/raising container with finer or no mesh at all. It sounds like you could have some escapees who could get lost outside the container.

Martha

Thanks.I will try that and see how it works.