Her marriage to Nathanael Greene was central to her life, a partnership forged amidst the backdrop of the American Revolution. Their relationship seemed to be based on mutual admiration, respect, and shared ambition.

Caty and Nathanael Greene had several children, including George Washington Greene, Martha Washington Greene, Cornelia Lott Greene, and Nathanael Ray Greene. She devoted herself to raising her children, despite the constant moves and the challenges of war. Ensuring their education and well-being was a primary concern.

After the death of Nathanael Greene, Caty was the sole guardian of her children. She relied on relatives and close friends for support, but also displayed resilience and determination in managing her affairs. She maintained relationships with her children even after they reached adulthood.