Cape Constance was named in about 1912, after Constance Greene Allardyce, wife of Sir William L. Allardyce, Governor of the Falkland Islands, 1904–15.
Cape Constance received its name around 1912, as a tribute to Constance Greene Allardyce, the wife of Sir William L. Allardyce, who held the position of governor in the Falkland Islands from 1904 to 1915.