I would crate her. If she is puppy she will spend most of her time sleeping anyway. Plus it sounds like your mother can check on her if you need her to do. But crating is a preference. Some people are okay crating their dogs, some aren't.
Here is a clip of one of my pup at about 6 weeks old:
www.geocities.com/tinybittosalt/MVC-004V.MPG