A visit to Liberty Hill Farm’s bed-and-breakfast in Rochester feels like going to Grandma’s — assuming your grandmother is an accomplished home cook who regularly welcomes an eclectic mix of global travelers to her cozy 200-year-old farmhouse in a picturesque, rural Vermont valley. Since 1979, the Kennett family has raised dairy cows and prized breeding stock on a couple hundred acres just off Route 100 in central Vermont. Beth and Bob Kennett, now 67 and 72, respectively, started inviting guests into their rambling Greek Revival home in the winter of 1984. Their son, David, 44, who now runs the farming operation with Bob, was 6 years old. Over the past four decades, Beth estimated, Liberty Hill Farm has easily hosted 40,000 people of all ages and backgrounds from every continent, including a research scientist from Antarctica. Farmers don’t get to travel much, but “the world has come to us,” Beth likes to say. Liberty Hill farm stays also broaden the perspective of guests. Included in each overnight visit is a firsthand view of the daily rhythms of farm life: David’s wife, Asia, 35, leads morning tours of everything from milking to bottle-feeding calves. The Kennetts value the opportunity to help people understand what it takes to make the key ingredient for their favorite cheese, ice cream and yogurt. “It’s really not about the bed, and it’s not about the pancakes,” Beth said. “It’s about really connecting people not just to food but to the farming way of life, something that most people are really disconnected from.” Every morning, Beth rises early to bake favorites like her rhubarb custard clafouti. She whisks up pancakes or scrambled eggs, fries bacon, and cuts fresh fruit while Bob sits in a rocking chair cradling a mug of hot coffee after the morning milking. Beth is renowned for her hearty, home-cooked breakfasts and suppers; they feature many local ingredients and are served family-style around a big dining room table. The home’s seven guest bedrooms are simply and comfortably appointed with plaid curtains, quilts and chintz flowered wallpaper. Common areas offer board games, puzzles and books to be enjoyed in armchairs and nooks. The barns, fields, river and hills on and around the farm provide ample space for exploration in every season. Beth is always ready to provide personalized recommendations for area excursions, as close as the Rochester Public Library’s historic stained…