Yeah, Its normal. But you have to watch out. Babies get sick easily even if they are healthy. Sometimes they can infect the parent too. So you have to watch out. Other than that you might see little tiny poops and two Z's when they sleep. The parent leaves in two days then you name the baby when it wakes up. If you want to see your parent leave just set it to 11:59 on the second night, Otherwise everything is completely normal.
~ChibiMuffins