My Irish grandfather used to sing me a similar tune when I was a kid, this was his version…..
‘Oh witchy woman wrapped up in a blanket
Ninety times as high as the moon
Where she was going I couldn’t but ask
For on her back she carried a broom
Oh witch witchy woman quoth I
Where are you going your going so high
To wipe the cobwebs out of the sky
And I’ll be down tomorrow bum-bye’