Yes, I wondered if it was only poor Miss D. But, if Daisy needs to go to kennels (or to anywhere different) while you are away, I would've thought Lola would be good for company for her and help alleviate any stress of being somewhere strange.
I only just got down to the last quote. That sounds good for while you are away. And even if it is good wine, it will be well worth it! When are you off? (as in will the dogs have time to visit her a few times before you go).
I just thought of something, can you encourage your mother to go on a nice long holiday and while she is away, get in some serious training for her dog? It might sound silly but it could work.