Not necessarily true! I'm thinking now, of my grandmother, RIP, who was deserted by her husband and worked full-time, raised three children all during the Depression. She retired at age 75 and lived to 102. Another woman worked to support herself her entire life. She lived to 103! Yet another single lady supported herself and raised her two neices after her sister died and their father's new wife abused them. She died recently at 96.
Keep in mind that life's goal is Heaven, not to reach a maximum age. God determines the time of our death. Each one is given ample graces and time to save his, or in this case, her soul.