This drinks name is likely derived from the music producer. You might immeadiately think that there was a real person named Freddy Fudpucker of some noteriety. Unlike, the movie star era, the drink belongs to the galliano era, however, it does also belong to the extented era of significant people. Here is an early printing of this drink:
The cocktail book: the complete guide to home cocktails by Michael Walker in 1980
"The Classic, Collins, Freddy Fudpucker and Sherry Flip"
There was a somewhat popular music producer Freddy Fudpucker and Elmer Fudpucker. Freddy was most noted for:
The road goes on forever: portraits from a journey through music by Philip Norman in 1982
"It wouldn't mean a thing if it said, 'co-produced by Freddy Fudpucker and David Kirstenbaum'. That's more presumptuous than I would be"
It does not appear that he did any work significant enough to create a drink. Galliano, like the rest of their cocktails coined the opportunity. This drink was still popular in the late 80's as seen here:
The bulletin: Issues 5617-5625 in 1988
"But the cocktails with the cachet at the moment are the Freddy Fudpucker (tequila and galliano) or — for the confident girl — the Slow Comfortable Screw (vodka, gin, Southern Comfort)."
This drink dates between 1974 and 1979 and contained at least as of then:
Shake these ingredients:
Fresh Orange Juice
Strain into an ice filled highball glass.