LVIV, Ukraine—In a dimly lit hall for female refugees with small children at Lviv’s main train terminal, some women are waiting to leave Ukraine, some are on their way back east to the war zone, and others plan to stay put, helping those on their way. Matvei, 6, chased after another boy his age around the mattresses and pillows lining the floor throughout the hall. His mother, Katya Kaverina, sat on one of the mattresses, holding 10-month-old Nikita in her lap. Kaverina had three hours to wait before her train to Poland arrived. She fled from Kryvyi Rih in central Ukraine, which is still far from the front lines of the war to the north, south, and east. She traveled for 23 hours to get to Lviv, leaving behind her husband, mother, and father; she worries about them all. In Poland, she knows no one and hopes volunteers will help. …