The Dutton family’s home base on Yellowstone, the Yellowstone Dutton Ranch, and the land they’re so determined to hold onto, is actually someone else’s real-life refuge. The Chief Joseph Ranch, a historic working cattle ranch in western Montana, has been owned and operated by rancher Shane Libel and his family since 2012. “We fell in love with it — the history, the buildings — just the ranch itself,” Libel says of the 2,500 acres of land a few hours from Yellowstone National Park. “It spoke to us.” The ranch’s history stretches back more than a century — and just like the Dutton ranch, it’s become an institution in its community. Previously inhabited by the Salish Native American tribe, the land was settled in the 1880s (originally dubbed the Shelton Ranch). In 1914, glass tycoon William S. Ford and federal judge Howard Clark Hollister teamed up to purchase the then-flourishing apple orchard...