Is there a way to add additional costs after the stay is already in progress?

I had a last minute booking yesterday for an overnight stay ( literally an hour notice) for a puppy with the thought that they would be here to pick her up by noon today. I got an email at noon saying that their car broke down so now they have to catch a bus and they won't be able to pick her up til 6. I just got a message now, at 6, saying that they have to wait until 7 to get a rental car. So now I'm going to have her until probably around 8. I feel like I should have the opportunity to add an extra day or add on a cost for daycare since I wasn't expecting to have her so long...she's adorable.. but I feel taken advantage of.