Academic position in the UK, do universities in the UK pay for dependent tuition?
I am an American and was an assistant professor in a UK university. They laughed at me in the polite British way for being a stupid Yank when I asked about benefits like this. With the single pay spine and the craziness of British tax law, they wouldn't even know how to do it in a formal way.

If your daughter attended your school (department in US speak), they could probably work with you to wave the international fees and only charge you home fees (9k a year), but with Brexit looming, you cannot really count on any future promises (or even a guarantee that she would legally be allowed to attend a university).