“Disappointed Love,” painted in 1821 by the Irish artist Francis Danby, is a scene of eternal teenage wistfulness, its visual codes as readable now as they were back then. A young girl sits by a river, tearful and heartbroken, her head in her hands, her white dress pooling around her legs. In the water, pages of a torn letter float among the waterlilies. By her side are props of femininity: a straw bonnet, a bright red shawl and a miniature portrait of the man who wronged her.

The work hangs in the collection of the Victoria and Albert Museum in London, in a red-walled gallery tightly packed with Georgian and Victorian paintings. As of recently, Danby’s weeping beauty has a new neighbor: a ruffled cream Zimmerman dress worn by Taylor Swift in the music video for “Willow,” from her 2020 album “Evermore.”

The gown is one of more than a dozen items from Ms. Swift’s personal archive featured in installations across the V&A galleries. Danby’s painting is “so her vibe,” the curator Kate Bailey said of Ms. Swift, gesturing to the lovesick girl and her assortment of trinkets — “the dress, the scarf.”

It was not yet noon on a muggy July day in London, and yet Ms. Bailey, a senior curator in the V&A theater and performance department, had already clocked more than 8,000 steps on her iPhone pedometer as she rushed about the museum overseeing the Taylor Swift installation. The V&A galleries, spread across multiple floors, stretch seven miles. (The exhibition, “Taylor Swift: Songbook Trail,” will be open to the public through Sept. 8.)

“Whose idea was it to put a trail around the whole museum?” Ms. Bailey asked as she arrived, cheerful and panting, in the gilded Norfolk House Music Room. The V&A acquired the room in 1938, when Norfolk House was demolished, and reassembled it in its entirety, panel by panel, in 2000.

Ms. Swift’s “Speak Now” blasted from speakers, and her iridescent tulle ball gown, worn on the back cover of the album, was encased on a mannequin in a vitrine in the center of the room, like a ballerina in a giant music box.