After her divorce from Menzies in 1974, she married lawyer Thomas Walker Bullitt, whom she had met on the American tennis circuit. Bullitt had been educated in England, came from one of Kentucky's oldest families, and had been an aide to Field Marshal Bernard Montgomery during World War II. The couple lived at Oxmoor Farm, near Louisville, Kentucky, which had been in the Bullitt family for ten generations. Stammers laid out and maintained an English garden and indulged her passion for racehorses. She helped run the annual steeplechases on the estate course in aid of a children's charity and, under the Oxmoor Charities Corporation, helped to plan schooling for event riders and summer concerts.