I think they call it "the generation gap." All you can do is state your boundaries and keep to them. It's her dog and she's responsible for it whether she's in England or not.

If it was me, I might be tempted to be responsible for the dog's bills IF she acted appreciative. Not if she didn't. You gotta teach them that niceness and gratefullness works a lot better than demands do. "You can catch more flies with honey than with vinegar."