Frederick Gough, 4th Baron Calthorpe (14 June 1790 – 2 May 1868), known as Hon. Frederick Gough-Calthorpe until 1851, of Elvetham Hall, Hartley Wintney, Hampshire, was a British peer and Member of Parliament. He was born the 4th son of Henry Gough-Calthorpe, 1st Baron Calthorpe, and succeeded his elder brother (the youngest of his three elder brothers to die before him) as the 4th Baronet in 1851.