Chiyo Yagi, 90, in her room at Nazarewon, a nursing home for elderly Japanese women, in Gyeongju, South Korea. “Korea is a better place for me to live because I at least have a daughter here,” Ms. Yagi said, “My daughter comes to see me once a year.”Credit...Jean Chung for The New York Times GYEONGJU, South Korea — She spends hours a day watching the Japanese broadcaster NHK. Her bedside table is