I'll put in my 2¢ worth.
I remember playing this from a collection of children's song on a small suitcase sized, portable record player. It had a substantial wooden box with faux alligator for a covering.

The record, I believe was an LP with this song and Boom, Boom Aint' It Great To Be Crazy.

Not being flush with money, I suspect my folks purchased the player and record on a garage sale or bazaar.

I remember the line after the "two tens for a five" line "I said ya durn fuel, I'll be the constabule, ya can't fool me 'cause I'm too durn sly."

I'm sure I wore that old record out playing it so much. Back in the mid to late 60's.

I suspect it was a re-cut of the aforementioned 45 rpm collection, just cut to an LP. Any idea who sung that rendition?