This drink is directly derived from the stinger, which was named after the 19th century farming tool. This drink belongs to a family of drinks named after horses, which were the primary mode of transportation during this drinks proprietor's era. Here is an early printing of this drink:
Show: the magazine of the performing arts: Volume 4, Part 1 in 1964
"ITALIAN STINGER COCKTAIL I oz. Galliano I oz. Brandy Shake well with cracked ice. Strain into cocktail glass."
The drink appears in magazine advertisements from 1964 - 1967 as seen here:
The New Yorker: Volume 42 in 1966
"ITALIAN STINGER COCKTAIL 1 oz. Galliano 1 oz. Brandy Shake well with cracked ice Strain into cocktail glass."
The New Yorker: Volume 43 in 1967
It is very likely this drink was created in New York. Early literature suggest this drink was created with the introduction of Galliano. The drink might have been created by Galliano themselves, although, there is no literature supporting this claim. Nearly every recipe for this drink calls for gallino and brandy and the ingredients were available and popular at the time of this drinks creation.
This drink dates between 1963 - 1964 and contained at least as of then:
Shake these ingreidents with cracked ice:
Strain into a chilled cocktail glass.