Actress Michelle Williams and her fiancé, theater and film director Tommy Kail, have a new home in Brooklyn.

According to public records, a trust linked to Mr. Kail paid $10.8 million for a townhouse in Brooklyn Heights. The deal is one of the most expensive ever recorded in the neighborhood, which is known for its old brownstones and tree-lined streets. The area is also known for attracting celebrities like actors Emily Blunt and John Krasinski.

The property includes a townhouse of roughly 3,000 square feet, according to an estimate from PropertyShark, and a parcel of land to the rear of the house, records show.

The house dates to the 1820s, according to records from the Library of Congress. It wasn’t on the market at the time of the sale.

Ms. Williams, known for movies “Brokeback Mountain,” “Blue Valentine” and “My Week with Marilyn,” has long owned homes in Brooklyn, including a Colonial Revival-style mansion south of Prospect Park and another townhouse in Boerum Hill, which she sold in 2014 for $8.8 million.