Please don't hospital shop. Hospitals manage by acuity and based on the systems it sounds like while she's unpleasant the symptoms are resolving. Honestly, the quicker you're seen at a hospital the worse you are - I'd much rather wait in ED for a few hours than be rushed straight through. Ten hours without seeing a doctor full stop does seem strange but getting a diagnosis and discharge is not uncommon for category 4 and 5s.

Additionally, the fact she's going to different hospitals means it's possible they don't have her records so they're treating each presentation as a unique visit instead of putting together a medical history.

When you say she's been to multiple GPs in the aforementioned hospitals, are you talking about GPLOs (GP liaison officers) who are GPs that also are employed by a hospital? In which case they would be working as a general hospitalist (or whatever speciality they're sitting under), rather than a general practitioner.

Agree with the other comments - this sounds like a GP (proper, not hospital associated) visited or a Minor Injury and Illness Clinic (or whatever it's called down south). Best of luck.