Probably not. There are certain laws that apply to grandparent "rights." She could threaten to call human services before she could "take your daughter away from you." As long as your daughter has her basic needs met and she is not in any danger then you probably have nothing to worry about. There are some situations in which a grandparent has rights to visitation.
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No. She does not have any standing to do so. So, it is an idle or fake threat. Only you and the father of the child have parenting rights. The only party that can intervene is the Department of Social Services Child Protection Services Unit if they believe that the children are being neglected or abused.
The information provided in this answer does not create an attorney-client relationship and is not considered to be legal advice.
She has no chance.
In no way am I offering you legal advice, and in no way has my comment created an attorney-client relationship. You are not to rely upon my note above in any way, but insted need to sit down with counsel and share all relevant facts before receiving fully-informed legal advice. If you want to be completely sure of your rights, you must sit down with an experienced criminal defense attorney to be fully aware of your rights.