Hi stiffler69 :0
Cory eggs are delicate and can be easily damaged, which will result in fungus setting in. When they are newly laid they are very soft and should not be moved unless they are about to be eaten. Within a few hours they will firm up and be easier move yet still be sticky to the touch. This is the best time to move them and will result in the least amount of damage if care is taken. You can stick the on the side of another container for hatching and keep a little room between them for the water to circulate.
After another period of time they firm up still more and lose their stickiness. If you move them then, they will fall to the bottom of the container and end up in a pile where the moving water can't reach the innermost ones. Some will be fine, perhaps all, but there is more risk of fungus.
What species of corys are spawning?