While breeding pokemon, the child pokemon generally inherits the mother's type of pokeball (excluding the Master Ball). For example, if a mother caught in an Ultra Ball has a child, the child will be in an Ultra Ball as well. But, there is a special type of pokeball known as the Cherish Ball which can be received through events. For example, Manaphy is known as the legendary that can breed and Manaphy has recently been given out through an event in which it came in a Cherish Ball. Can/Will Manaphy's child inherit the Cherish ball?
The cherish ball and master ball are exceptions to pokéball inheritance. If you catch a pokémon in either of these balls and breed it, the child will always be born in a regular pokéball instead.