First recorded by The Stokes (1964).
Hit version by Herb Alpert & the Tijuana Brass (US #68/MOR #13 1965).
From the wiki: “‘Whipped Cream’ was written by Allen Toussaint (‘Yes, We Can Can‘, ‘Java‘, ‘I Like It Like That‘). (Naomi Neville, the credited writer, was one of two pseudonyms used by Toussaint to honor his parents, Clarence and Naomi, who had always been supportive of his music.)
“In 1964, in the midst of a two-year stint in the military, Toussaint took his army band into the studio and, under the name of The Stokes, recorded ‘Whipped Cream’.
“A year later, Herb Alpert jumped on the melody for his Tijuana Brass, recording it note-for-note, creating a memorable album cover, a hit single (and 1965’s #1 hit album), and the original theme song for the TV sensation The Dating Game.”
Herb Alpert & the Tijuana Brass, “Whipped Cream” (1965):