Oops, I missed the small eyes part. Well, I’ll never make it as a police sketch artist.
Not Huge Herbert either. 
I really have to insist on this one: what peculiar actions or situations you remember that character doing or suffering? I think that will help us narrow the possible characters.
Nope. Not that guy. His face has way too much emotion.
So when I started grumbling and swearing to myself, my fiance wanted to know what my problem was so I explained to him. His first guess was one of the goons from Popeye. Then I showed him the Pilgrim from Jerky Turkey.
He now agrees with me that it’s probably some random Tex Avery character, most likely a one-off guy, who I’m never going to find again. I have to find him though. I have a case study, a journal review, and a presentation to get done over my 1 week vacation and I’ll never be able to focus with this dragging me down!!
Absolutely none, which is part of the problem. I can’t remember him talking or doing anything in particular. His face just stuck with me. I distinctly remember him having a very bland face. No lines, freckles, rolls, cheeks. I don’t think he had eyebrows either but I might be wrong on that. Very small eyes, way too close to the huge nose and showing no emotion. Long nose, longer face. I don’t remember his mouth so I suspect it was pretty small. No facial hair. Possibly no head hair. I don’t remember ears but I assume he had some.
The only things I’m absolutely 100% sure of are the small close-set eyes, the long nose, the long face, and the very bland expression. Everything else could be my brain playing with me. I am certain though that I will recognize his face if I see him again.
Is it the giant from Mickey and the Beanstalk?
Could it be The Man with the Yellow Hat from Curious George? Profile view.
One of the Dodos from “Porky in Wackyland”?
Can’t link right now, just Wiki it.
There’s a character somewhere in cartoon land who looks like a cross between a proboscis monkey and Shmoo. He’s got a blobby white face and a long, proboscis monkey nose. I wonder if I’m thinking of the same image.
Of course, it doesn’t help since I don’t know who he is or where he’s from either.
I know it’s likely not the Goons (who were male, not female, in the original 1938 Popeye in Goonland Fleischer cartoon) the OP is looking for. No bowler, no tie.
Still, he/she should see a frame from the original cartoon as an antidote to the ridiculous modern 3-D image you linked to, which has very little resemblance to the original. Hi-tech is not always better.
Also, here’s a shot of Popeye when he disguised himself as a Goon in an attempt to rescue his Pappy from their prison.
I remember cartoons that I presume were from that era where the joke would be, for example, a guy looks (relatively) normal face front, but then after a beat he turns and the joke/surprise is he has a giant long nose but you couldn’t tell until he’s in profile, because of the perspective.
Could it just have been something like that?
When I looked at the sketch you drew, I got a mental image of a henpecked little man in a hat and dark suit and tie, carrying an umbrella and/or briefcase, with a little mustache and the voice of Bill Thomson (Droopy Dog, Wallace Wimple) or similar. I see him waiting for something, like an elevator or a “walk” sign, but I can’t picture the context beyond that. Thomson’s IMDB page didn’t give me any clues.
Inspector Gadget?
The art style sounds like it might have come from Rocky and Bullwinkle.
Long shot - but is it the Dr. Jeckyll character from the Porky Pig cartoon The Case of the Stuttering Pig? Your description reminded me of when he first starts to change, while he looks right at you (~3:15 in the link)…
I have a similar vision…so I think the character is out there.
For some reason, I’m picturing a whistling noise while waiting. But that might not be real. Or useful.
Could it have been one of the VERY early incarnations of Elmer Fudd?
The original Elmer Fudd looked NOTHING like the hunter who chased Bugs Bunny, and didn’t sound like him either. Check him out in WB cartoons like “A Feud There Was”
