Final answer:
Frances Perkins, as Secretary of Labor, was key in the passing of the Social Security Act of 1935. It provided support for the elderly, unemployed, and disabled, funded by payroll taxes.
Step-by-step explanation:
The social worker who worked diligently to pass the Social Security Act was Frances Perkins, President Franklin D. Roosevelt's Secretary of Labor. Perkins was instrumental in crafting the legislation and advocating for its passage. The Social Security Act of 1935 was a key part of Roosevelt's New Deal, providing a safety net for the elderly, the unemployed, and the disabled through a system of pensions, unemployment insurance, and welfare benefits. This Act was financed through a payroll tax on both employers and employees and marked the beginning of America's federal social insurance programs.