Here's one that my sister used to sing when she was in the Brownies. I forgot line 3; you'll have to improvise. The tune is "Dapple Gray."

[Brownie Smile Song]

There is something in my pocket
It belongs across my face
...
A very special place.

I know you couldn't guess it
If you guessed a long long while
So I'll take it out and put it on
It's a great, big Brownie Smile.