I've always wondered what the really poor do in such a situation, especially given that they may need to stay in a hotel or motel for days at best, weeks at worst. I think governments do offer some relief?
That makes me sad as even if she doesn't have family/friends she can stay with, then why can't she go to a shelter with them. I know a couple that had to rescued from their roof in St. Bernard parish during the aftermath of Katrina as they had couple of dogs and couldn't take them to the shelter/hotel and so they all stayed behind. Lucky that they all survived (only reason is house was two stories; neighbor died in single story). So I wish this lady well.
I had thought that subsequent to Katrina, evacuation plans were made that included pets - some people refused to leave if they could not take their pets with them, and some pets who were left behind died. And I believe it was Katrina (but might have been another disaster) when a huge effort had to be made to reunite people with their pets. IIRC some pets were evacuated after their humans, and it was hard for humans to find where their pets had been sent.
I am sure that Wayne Purcell, (previous, I assume) President and CEO of the Humane Society of the United States, wrote about evacuation plans for animals in his book The Bond: Our Kinship with Animals, Our Call to Defend them
ETA: He was involved in creating plans that included pets. But it doesn't appear that they are being utilized in the case of Florence. That is simply very short-sighted and stupid.