For the newly added mudroom, the clients’ primary point of entry, designer Heide Hendricks selected Montauk natural cleft slate tile floors by Complete Tile Collection to be both handsome and durable. Atop an antique bobbin bench with rush seat—sourced from Montage Antiques in Millerton, New York—toss pillows don vintage fabric remnants. The vertical beadboard walls are a Hendricks go-to.