Which country? Which year? Religious hospital? Teaching hospital? Something else?
I ask because there are differing issues surrounding patient privacy. In the US, HIPAA covers a lot of what you're asking in terms of how public a setting would be: https://www.hhs.gov/hipaa/for-professionals/privacy/index.html
Unless heroic measures are being taken to save the mother's life, it's likely that the family would be allowed in before/at the time of her death, and probably afterwards, at least for a while.
Your daughter character is distraught, and in an unfamiliar place. She will have to be guided at least a bit in terms of where to wait. These days because of Covid, unless she was being brought in on a gurney, they'd do a temperature check or at least ask Covid questions. After 9/11, hospitals would have more security. Not necessarily cops or security guards; more like a front desk stopping people from just running in.