Anne Shippen Willing was the mother of Mary Willing Byrd. She was the wife of the prominent merchant Charles Willing of Philadelphia. Mary Willing Byrd married William Byrd III of Westover in 1761. She presumably brought a portrait of her mother with her to Virginia.
Reference: “a portrait of my honored mother, as I find it was the particular wish of my lamented daughter” was left by Mary Willing Byrd to her granddaughter, Lucy Nelson, daughter of Abigail Willing Byrd Nelson (Mrs. William Nelson)
See: Mary Willing Byrd, “The Will of Mrs. Mary Willing Byrd, of Westover, 1813, with a List of the Westover Portraits,” Virginia Magazine of History and Biography 6, no. 4 (April 1899): 345-358; Zara Anishanslin, Portrait of a Woman in Silk: Hidden Histories of the British Atlantic World (2016)