So sorry for you, your partner and your beautiful Aaliyah - what a terribly painful thing you all have to go through.
It is not your fault, these things very tragically do happen, and many babies are stillborn every year.
My own baby brother was stillborn near his due date, in 1977. I was nearly four and expecting him so excitedly. We never really understood why. He did have a post-mortem but in our case, it did not reveal much, I don't think. You may not like to send her away to Liverpool and that is understandable, but at the same time a post-mortem might help you understand what must seem so unfair and inexplicable.
In those days there were no funerals or baby loss charities, and so there has been a kind of blank in my life where my brother might have been, he is never spoken of, I don't know what he looked like, or what his name was. I don't even know what they did with his body.
My advice would be to celebrate little Aaliyah's life as much as you can, to hold her, and make keepsakes, and hold a funeral, and keep her always alive in your minds, even if you go on to have further children, she will always be your precious first born and darling girl.