A little mouse got a rug from a woman. He was so pleased he sang this song.
"Oh me, oh my!
We'll soon be as snug
As a bug in a rug
What do you think of that!
Come and see me any time
I'll make you up another rhyme
But please don't bring the cat."
This is a short story from "Little Old Mrs Pepperpot".
I couldn't understand this sentence "I'll make you up another rhyme". Does it mean "I will make up another rhyme for you?