If this woman's father bought her a trip in 1959, then he may have made his money in the 1920s, when the middle class was only just firming up. It would have been correct at the time to think of him as middle class, even though to us today he seems pretty wealthy. That's because his class status was defined by him being a businessperson who presumably did it himself, as opposed to having inherited wealth, land, or title.
The rise of the middle class was the cause of much cultural introspection at the time. There's a lot of thoughtful and beautiful literature about it, like Howards End[1] and The Forsyte Saga[2].
Of course, today "I'm middle class" means "I earn enough to own a car and take a vacation once a year." But that's a modern shift of definition and not quite what it meant for this woman's father in the first half of the century.
[1] https://standardebooks.org/ebooks/e-m-forster/howards-end
[2] https://standardebooks.org/ebooks/john-galsworthy/the-forsyt...