Yes, My mom came down when I was in labor and stayed for a week. She went home for a couple of days and then came down again for 4-5 days. My dad came down some of the time too. They live about 2.5 hours away and my mom is retired so her schedule is super flexible. My mom is very helpful and we get along really well.
If you get along with your parent and they are actually helpful I would say 1-3 weeks. If not then limit it to 1 week max. Figure out what she would be most helpful with and make sure you let her know what you need help with. Everyone loves to hold the baby but in reality you need people to go to the grocery store, do laundry, make meals, take out the trash etc.
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Mother to DD-A July 2008
and DD-B-November 2010