I am sorry to hear about Rosie. I am sure it was doubly hard not getting to be there to say goodbye.

I hope no one on here would judge you (or any of the others who are living at home) for something your parents decided to do - but also sometimes spending a lot of money that will supposedly lengthen a dogs life doesn't work as well as the vet thought. The money could have been spent, the dog could still be miserable and instead of making things better it only makes them worse. I am sure your parents did not just consider the cost but also what the cost would be to Rosie - sometimes it is just better for the dog to be let go. We are the ones who often can't let go when it might be better for the dog if we did. Saying goodbye is never easy!