Following his studies, Wimberley attended the Staff College, Camberley from 1926 to 1927, where he was a student in a class of instructors who would lead the army to victory in the next war, such as Bernard Montgomery, Alan Brooke and Bernard Paget, with fellow students such as Harold Alexander, Charles Hudson, Roy Bucher, Alan Duff, George Wood, John Clark, Noel Holmes, Sidney Archibald, William Holden, Richard Bond and Richard Lewis. On 29 April of that year, he married Elsye Myrtle Livingston, daughter of Captain F. L. Campbell of the Royal Navy, of Achalader, Perthshire. With her, he had one son and one daughter.