In 2011 with their daughter Tanjam Jacobson and Dr Krishna Bharat, Sita set up an endowment for memorial lectures at the TIFR in her husband's name.
Sita died peacefully at her daughter Tanjam Jacobson's home near Washington, D.C., 19 February 2013.
At Newnham, one of Sita Narasimhan's students was Patricia Hewitt, the Labour politician now Chair of the UK India Business Council.
Speaking about Sita, Hewitt was quoted in The Telegraph saying "I found myself in the extraordinary position of being a young Australian student, reading English literature at one of the oldest British universities, with a director of studies who was Indian — Sita Narasimhan was a wonderful scholar of English literature but also brought a very deep knowledge of Sanskrit.
In 1983, she wrote a biographical essay on another iconic woman, "Joan Robinson: In the Radical Vein.