Since I've been asked about it...
Here's the Honey Halfwitch pilot Poor Little Witch Girl, released in 1965 as part of the Modern Madcap series. Not much difference from this short and the subsequent cartoons that followed. The only major changes are the character being known as just "Halfwitch", as well as her British accent which they thankfully got rid of.
One animation quirk I've noticed in many Howard Post-directed Halfwitch shorts is that whenever the characters bob their head up and down they don't actually animate them doing that; they just simply tilt the still drawing under the camera. An extreme cost-cutting move if I've ever seen one. On the other hand I do like how Cousin Maggie blinks one eye at a time.
Some of the traits from this short continued into Shoeflies, the first of the actual Honey Halfwitch series, which includes Honey's British accent, Cousin Maggie's one-eye-at-a-time blink, and also the character still being called "Halfwitch" despite the series finally getting a name. Note that some of the animation from Poor Little Witch Girl is reused here with new dialogue.
According to the copyright database the song is "I'm Polishing My Shoes" by Howard Post (words) and Winston Sharples (music) and its copyrighted to Famous Music Corporation.