Peta Posa (1941-2019) was from Henderson, in western Auckland, where his Yugoslav immigrant parents were wine growers. He was a star in New Zealand, a prolific and popular instrumental guitarist whose earliest influences were 40s-50s country artists and the electric guitar innovator Les Paul.
Prolific NZ lyricist Sam Freedman (1911-2008) later wrote lyrics for The White Rabbit that were published in a lyrics booklet, Peta Posa: His Greatest Hits (1965), along with five other Peter Posa tracks. I haven’t found any evidence that a vocal version was ever recorded, apart from the version in Danish listed below.
* National charts were not available in New Zealand at this time, apart from some magazine lists that probably did not reflect actual popularity or sales. The White Rabbit was clearly a popular record, even if we don’t have any hard figures.
References, further reading: 1. Peter Posa profiles at Audio Culture and Bruce Sergent’s NZ music site. 2. “Peter Posa: hostage to the beat” by Chris Bourke at Audio Culture. 3. PeterPosa.com. 4. “RIP Sam Freedman: Unsung Songwriter Signs Off”, stuff.co.nz, 18 June 2008.
The extra writer credits are to Danish lyricist Jack Barry (b. Jørgen Winckler), and to NZ lyricist Sam Freedman, who wrote lyrics for The White Rabbit. This suggests that Barry's Danish lyrics were a translation of Freedman's.