That dress is The Vampires Wife. She has it in 3 other colours. I always think TVW looks like matronly upholstery but it's very popular so clearly women enjoy the structured shape and the whole day-to-night thing.
The coat is an old TopShop one and the shoes are frequently worn Kurt Geigers, they're real work horses, those shoes. Eugenie either has the exact same pair or borrows Bea's as she was wearing them last week. Probably she has her own pair.
Pairing a black shoe with a pastel outfit gives me a literal pain though. Particularly as she has almost identical Kurt Geigers in a lovely nude. Why not wear them??? Aaaahhh!