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This sounds like it's from Australia or NZ to me, at least in the vocals, but it's not. The honking sax is maybe not ideal but this tune has a few things going for it

It's the Goo Goo Muck-fella. California dude.
Definitely the same guy. There's a whole podcast about his sordid life in Bakersfield. Looks like it's interesting but I'm not going to pay to play.

 
Rare 1968 single. A little repetitive but some fuzz in the last seconds, which makes it even more a shame they didn't use it all the way! I found the names Dan Rabideau, Larry Rabideau (probably brothers) and Kim Joiner in the BMI catalog. Dan Rabideau is still around on facebook and confirmed he played on this. They're the same band as Danny And The Country Penetrators which issued a country single later the same year