First recorded by Bob & Earl (1958).
Hit version by The Innocents (US #18 1960).
From the wiki: “‘Gee Whiz’ was one of two similarly-titled songs that charted in 1960. This version, written by Jeanne Vicki and Jimmie Thomas (the latter an alias for Chess Records owner Leon René), was first recorded in 1958 by Bob & Earl, Bobby Day (née Bobby Byrd) and Earl Nelson. Both authors had also collaborated earlier Day’s #1 hit ‘Rockin’ Robin’ in 1958. (Note: Day left the duo in 1960, and was replaced by Bob Relf. It was the Relf/Nelson ‘Bob and Earl’ who would go on to record ‘Harlem Shuffle‘ in 1963, Bob and Earl’s only chart success.)
“‘Gee Whiz’ was covered in 1960 by The Innocents, the group who had backed up Kathy Young on ‘A Thousand Stars‘, with a single that peaked in the US Top-20.”