Do house spiders die soon after their eggs hatch?

In my bathroom there is this house spider that has been there for some time now. She had a very large ball in her web about last week or maybe longer; I wasn’t keeping track I just noticed it every time I go to use the bathroom. Anyhow, presently there are a cluster of little spiders in the web now like brown dots in a group and she just sits there next to them. I was just wondering if she will die soon afterwards, like the one on Charlotte’s Web and how soon after?