Hello & welcome, I am Dr. B, a licensed veterinarian and I would like to help you today. I do apologize that your question was not answered before. Different experts come online at various times; I just came online, read about your situation, and wanted to help.
First, in regards ***** ***** question, this doesn't sound like a case of rabies at all. Those cats do not usually have any of the signs you have reported and more often have a previous history of being bitten by wildlife. Therefore, this is not likely what caused her to pass away.
Otherwise, this is also unlikely something you could catch. This is because if we had a young cat with liver failure, this suggests possible poisoning, bacterial or viral infection of the liver, or one particular viral infection called FIP. Therefore, you can have an autopsy done to help pinpoint which of these did cause Coraline's signs, but this is not likely to be rabies and is not likely anything you can catch. Therefore, you may choose not to have that done. Though in all cases, I would suggest deep cleaning the house before allowing any new cats in. That way we can make sure there isn't any virus lurking that they too could catch.
Please take care,