You don't see her shoes in the photo but I read she was wearing boots, so I assume they have heals. At first I couldn't quite place his outfit except it looks more 19th- than early-20th-century, but then I realized it is a strongly Western look - in the spirit of the very well dressed types in the old Westerns. For example, the Mavericks, Jared in "Big Valley," and one where the lead was impecabbly dressed - I didn't watch it and can't recall the name. Here's a shot from "McCabe and Mrs. Miller," with Warren Beatty:
Of course, as many of us know, RL has long favored Western gear, including American Indian for women's dresses.