If I reside in my parents' home with my child, can they cover him on their health insurance?

I'm an adult with a child, and recently was laid off from my job. I live with my parents since this hardship, and was wondering if because I reside with them, can they get him covered on their health insurance?
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health-quotes.isgreat.org - here is my health insurance plan. As I remember they can provide such a service.
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