Robinson was a member of the executive committee of the Republican National Committee and the New York State Republican Committee. During the election of 1920, Robinson became the first woman ever called upon to second the nomination of a national party convention candidate; speaking before a crowd of 14,000, she endorsed General Leonard Wood as the 1920 Republican candidate for president. After Wood lost the nomination to Harding, Robinson came out strongly for Harding and his vice-presidential candidate, Calvin Coolidge. In the 1924 election, she served as a member of Coolidge's advisory committee. Also in 1924, she wrote a letter to "The New York Times" commenting on the election loss of her nephew, Theodore Roosevelt, Jr., for Governor of New York.