Thumbing for a hitch
The wind began to switch - the house to pitch
and suddenly the hinges started to unhitch.
Just then the Witch - to satisfy an itch went flying
on her broomstick, thumbing for a hitch.
Did she really go flying on her broom stick to satisfy an itch, and was she really thumbing for a hitch? I think they just said that so it would rhyme with "witch".