Coke is of American origin, derived from the beverage company Coca-Cola, which was founded by John Pemberton in Atlanta, Georgia in 1886. The name became popularized through its association with the successful soft drink brand and has since been used as a given name.
"The name Coke appears to have been quite popular in the early to mid-20th century, with five babies named Coke born each in 1913, 1917, 1927, and 1948, resulting in a total of twenty children being given this unique name during that time."